INTERPRET LINEAR GRAPHS WRITE LINEAR EQUATIONS SECTION 5

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INTERPRET LINEAR GRAPHS & WRITE LINEAR EQUATIONS SECTION 5. 4 C

INTERPRET LINEAR GRAPHS & WRITE LINEAR EQUATIONS SECTION 5. 4 C

You can use a table of values for a linear equation to get information

You can use a table of values for a linear equation to get information about that equation. Example 1: A. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Without graphing the points write an equation for the function. Time in Rental cost in hours, dollars, X Y 1 12 2 3 4 5 6 7 8 16 20 24 28 32 36 40

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3 4 5 6 7 8 16 20 24 28 32 36 40 Find the slope: Find the y-intercept: +4 Use m, x, and y to find b. Pick ANY point from the table.

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3 4 5 6 7 8 16 20 24 28 32 36 40 Find the slope: Find the y-intercept: +4 Use m, x, and y to find b. Pick ANY point from the table.

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3

+1 Time in hours, X Rental cost in dollars, Y 1 12 2 3 4 5 6 7 8 16 20 24 28 32 36 40 Pick ANY point from the table. +4

The water in a river was a certain level before it started to recede

The water in a river was a certain level before it started to recede at a constant rate. The table below shows the water level after a certain number of days. Without graphing the points write an equation for the function. In how many days will the water level be 26 feet? Time in days, x Water level in feet, y 2 33 4 6 8 10 32 31 30 29

Without graphing the points write an equation for the function. Pick ANY point from

Without graphing the points write an equation for the function. Pick ANY point from the table. Find the slope: +2 Time in days, x Water level in feet, y 2 33 4 6 8 10 32 31 30 29 -1

The water in a river was a certain level before it started to recede

The water in a river was a certain level before it started to recede at a constant rate. The table below shows the water level after a certain number of days. Without graphing the points write an equation for the function. In how many days will the water level be 26 feet? Time in days, x Water level in feet, y 2 33 4 6 8 10 32 31 30 29 16 If y = 26 feet, what is x? s y da

C. Kim, a skater, pays an initial fee for membership at the rink, plus

C. Kim, a skater, pays an initial fee for membership at the rink, plus a certain amount per hour that she practices. A graph shows that after 3 hours of skating the total cost is $57. It also shows that after 5 hours of skating the total cost is $65. Write an equation to model this situation. +2 Time in hours, x Total cost in dollars, y 3 5 57 65 +8 Pick ANY point from the table.

Quite often you will be given two points on a line and asked to

Quite often you will be given two points on a line and asked to write the linear equation. 1. Find the slope. 2. Substitute the values for the slope and x and y. 3. Find the value of the y-intercept. 4. Write your equation in slope intercept form.

Example 2: Write an equation in slope-intercept form for the line containing the two

Example 2: Write an equation in slope-intercept form for the line containing the two points. A. Pick EITHER point for x and y.

Example 2: Write an equation in slope-intercept form for the line containing the two

Example 2: Write an equation in slope-intercept form for the line containing the two points. B. Pick EITHER point for x and y.

Example 2: Write an equation in slope-intercept form for the line containing the two

Example 2: Write an equation in slope-intercept form for the line containing the two points. C. Pick EITHER point for x and y.

Example 2: Write an equation in slope-intercept form for the line containing the two

Example 2: Write an equation in slope-intercept form for the line containing the two points. D. Pick EITHER point for x and y.

Example 2: Write an equation in slope-intercept form for the line containing the two

Example 2: Write an equation in slope-intercept form for the line containing the two points. E. Pick EITHER point for x and y.