SLOPE INTERCEPT FORM Unit 1 Lesson 3 part
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SLOPE INTERCEPT FORM Unit 1, Lesson 3 part a 9/17/2014
WARMUP 1. Find the slope given two points (-2, 1) and (5, -3). 2. Solve for x in the equation Ax + By = C.
SLOPE-INTERCEPT FORM: Y = MX + B x and y: (x, y) coordinate m: slope b: y-intercept (Where the line crosses the y-axis) To graph a linear equation, we need the slope (m) and y-intercept (b) Terminology of Slope-Intercept Form: *Slope: Coefficient of x Variable Term *Y-Intercept: Constant
GRAPH Y = 5 X – 2
SPECIAL CASES: THOUGHT PROCESS. . . x = constant y = constant crosses the x-axis crosses the y-axis vertical line horizontal line undefined slope zero slope
. EXIT TICKET Find the slope and graph the equation of
STANDARD FORM OF A LINE Unit 1, Lesson 3 part b 9/18/2014
WARMUP
WRITING THE EQUATION OF A LINE IN STANDARD FORM A line is in STANDARD FORM when it is written as: Ax + By = C Note: both A, B, and C must all be integers and A MUST be positive! Standard form is the same equation as a line in slopeintercept form, it’s just written differently
CONVERTING FROM SLOPEINTERCEPT TO STANDARD FORM Recall that the slope-intercept form of a line is: y = mx + b. To change this into standard form, we start by: 1. Moving the x-term to the left side of the equation. This is done by subtracting mx from both sides. We now have the equation, -mx + y = b. 2. The coefficient of the x-term should be a positive integer. So we multiply the entire equation by an integer that will make that coefficient positive. 3. Whatever number you have multiplied the coefficient of x by, multiply that number with all of the other terms as well. This gives us the standard form: Ax + By = C
EXAMPLE #1 Write the equation of the line: y = -3 x + 6 in standard form.
EXAMPLE #2 Write the equation of the line: y = 2 x + 7 in standard form.
EXAMPLE #3 Write the equation of the line: y = (1/2)x + 8 in standard form.
EXAMPLE #4 Write the equation of the line that passes through the point (0, 6) and (-2, -2) in standard form.
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