Objective: To use slope-intercept form to write equations of lines. Ch. 5.1 Objective: To use slope-intercept form to write equations of lines.

Steps for Solving Reminder: y = mx + b Input the value for the slope (m) into the equation above (replace m) Input the value for the y-intercept (b) into the equation above (replace b).

Ch. 4.7 Review Graph the line which passes through (-1, -3) and has a slope of . 2 5 y Steps 1) Plot the point. 2) Write slope as fraction and count off other points. 2 m = 5 +5 x -2 or m = -5 +2 3) Draw line through points.

More Ch 4.7 Review Graph the line with a y-intercept of 3 which has a slope of . -1 y 2 Steps 1) Plot the point. -1 2) Write slope as fraction and count off other points. +2 -1 m = 2 x 3) Draw line through points.

-3 -3 -2 Even More Ch 4.7 Review Graph the following linear equation: y Steps -2 1) Find the slope and y-intercept. +3 2) Plot the y-intercept. x -3 3) Plot the slope. -3 3 m = or m = 2 -2 +2 4) Draw line through points.

-3 -1 Still More Ch 4.7 Review Graph the following linear equation: y Steps 1) Find the slope and y-intercept. +1 2) Plot the y-intercept. x +3 3) Plot the slope. -3 3 m = or m = 1 -1 4) Draw line through points. -3 -1

y = mx + b Slope-Intercept Form of the Linear Equation Slope Intercept Write the linear equation given the slope and the y-intercept 1) m = 2, b = 3 4) m = 3, b = -1 5 y = 3x – 1 5 y = 2x + 3 2) m = 1, b = -4 5) m = 0, b = 4 y = x - 4 y = 4 3) m = 2, b = 0 6) m = -2, b = 1 y = 2x y = -2x + 1

Slope-Intercept Form of the Linear Equation Write a linear equation in the form y = mx + b given the following. 1) m = 5, b = -1 4) m = 0, b = 1 y = 5x - 1 y = 1 2) m = , b = -1 5) m = , b = 0 3) m = , y-int.= 3 6) m = 1, b =

Write a linear equation in slope-intercept form to describe each graph. y y x x b = -2 b = 3 y = -1x - 2

Write a linear equation in slope-intercept form to describe each graph. y y x x b = -2 b = -3 y = 2x - 2

The graph below represents the volume of water in a tank (y) over time (x). Find the equation that describes y in terms of x. 60 50 40 30 20 10 Water Level (Gal.) 0 1 2 3 4 5 Hours

The graph below represents the total cost of a taxi ride (C) over miles driven (n). Find the equation that describes C in terms of n. C 60 50 40 30 20 10 Total Cost 0 5 10 15 20 25 n Miles