STANDARD FORM OF A LINEAR EQUATION Day 1

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STANDARD FORM OF A LINEAR EQUATION Day 1 SECTION 5. 5 a

STANDARD FORM OF A LINEAR EQUATION Day 1 SECTION 5. 5 a

The equation is written ________ form. slope intercept If we move “ ” to

The equation is written ________ form. slope intercept If we move “ ” to the other side of the equation, we have ____________.

If we move “ ” to the other side of the equation, we have

If we move “ ” to the other side of the equation, we have ____________. linear This is still a ____ equation, but it is written in a different form. A linear equation in the form ________ standard form where A, B, and C are is in _______, integers.

A linear equation in the form ________ standard form where A, B, and C

A linear equation in the form ________ standard form where A, B, and C are is in _______, integers. Remember the set of integers is. NO FRACTIONS!!! NO DECIMALS !!!

Example 1: A. Jackie is in charge of selling tickets for the school jazz

Example 1: A. Jackie is in charge of selling tickets for the school jazz concert at $2. 00 for students and $4. 00 for adults. She hopes that the total ticket sales will be about $600 in order to cover expenses and make a modest profit. Write a linear equation in standard form to model this situation. Let # student tickets $2. 00 # adult tickets $4. 00

B. A donation of $300 was make to the Classical Music Club for the

B. A donation of $300 was make to the Classical Music Club for the purpose of building their collection of CDs. At the local music store, some classical CDs cost $10 and other cost $15. The club wants to know how many of each type can buy with the $300. (Do not consider sales tax. ) Write an equation in standard form to model this situation. Let # classical CDs $10. 00 # other CDs $15. 00

Example 2: Tell whether the equations below are in standard form. A NO B

Example 2: Tell whether the equations below are in standard form. A NO B YES C NO D NO E YES F NO x-term + y-term = constant No fractions, no decimals ! FRACTIONS DECIMALS

If an equation is not written in standard form, we can rewrite the equation

If an equation is not written in standard form, we can rewrite the equation so that it is in standard form. Example 3: Write each linear equation in standard form. A. B.

C. D.

C. D.

x ___ y intercepts and the ____ slope We can find the ___& when

x ___ y intercepts and the ____ slope We can find the ___& when the equation is written in standard form. y-intercept is at x-intercept is at

x-intercept is at y-intercept is at x intercept, We know that y = 0

x-intercept is at y-intercept is at x intercept, We know that y = 0 at the ____ y to find the _____ x intercept. so we can plug in 0 for ___ We know that x = 0 at the ____ y intercept, x to find the _____ y intercept. so we can plug in 0 for ___

Example 4: Find the x & y intercepts of the following equations. A. Plug

Example 4: Find the x & y intercepts of the following equations. A. Plug in 0 for y x- intercept Plug in 0 for x y-intercept

Example 4: Find the x & y intercepts of the following equations. B. Plug

Example 4: Find the x & y intercepts of the following equations. B. Plug in 0 for y x- intercept Plug in 0 for x y-intercept

Example 4: Find the x & y intercepts of the following equations. C. Plug

Example 4: Find the x & y intercepts of the following equations. C. Plug in 0 for y x- intercept Plug in 0 for x y-intercept

x- intercept Write y-intercept in slope-intercept form to find the slope.

x- intercept Write y-intercept in slope-intercept form to find the slope.

x- intercept y-intercept

x- intercept y-intercept

Slope = y - intercept = x - intercept =

Slope = y - intercept = x - intercept =

To find the x-intercept, cross out the y-term… Slope = y - intercept =

To find the x-intercept, cross out the y-term… Slope = y - intercept = x - intercept =

To find the y-intercept, cross out the x-term… Slope = y - intercept =

To find the y-intercept, cross out the x-term… Slope = y - intercept = x - intercept =

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= A. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= A. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= A. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= A. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= B. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= B. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= B. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= B. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= C. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= C. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= C. B= C= Slope x- intercept y-intercept

Example 5: Find the slope and x & y intercepts of the following equations.

Example 5: Find the slope and x & y intercepts of the following equations. A= C. B= C= Slope x- intercept y-intercept

If an equation is written in standard form, you can x & y intercepts

If an equation is written in standard form, you can x & y intercepts to graph the equation use the ________ quickly.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. A.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. B.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. C.

Example 6: Graph the following equations. D.

Example 6: Graph the following equations. D.

Example 6: Graph the following equations. D.

Example 6: Graph the following equations. D.

Example 6: Graph the following equations. D.

Example 6: Graph the following equations. D.