Slope - Intercept Form

Slope - Intercept Form – an equation written in this form y=mx+b m = slope b = y - intercept y – intercept – the point on a graph where the line crosses the y - axis y=mx+b y=2x+4 slope=2 y-intercept=4

Determine the slope and y-intercept of each equation Ex1) Y=-2/3 x +4 m = -2/3 b = 4 Ex2) Y= 15x - 5 m = 15 b = -5 Ex3) Y= 1/3x m= 1/3 b = 0 Ex4) Y= x - 14 m= 1 b = -14

Use the slope intercept form of an equation to graph a line Ex5)Y = x + 1Step 1Determine the slope and y-intercept m = 1 b = 1 Step 2 Plot the y-intercept on the graph Step 3 use slope as rise over run to locate a second and third point to form a line 1 1 rise run Step 4 connect points

Y= -2/3 x + 4 m = -2/3 b = 4 Ex6)

Y= 1/2 x m = 1/2 b = 0 Ex7)

Essential Question Describe how the slope-intercept form of an equation helps you graph the equation.

Slope - Intercept Form Date ____________

Slope - Intercept Form – m = b = y – intercept – the point on a graph where the line _________ _____ __ ______ y= slope= y-intercept=

Determine the slope and y-intercept of each equation Ex1) Y= m = b = Ex2) Y= m = b = Ex3) Y= m= b = Ex4) Y= m= b =

Use the slope intercept form of an equation to graph a line Ex5)Y =Step 1Determine the ______ and _____________ m = b = Step 2 Plot the ___________ on the graph Step 3 use slope as ______ _____ _____to locate a second and third point to form a line Step 4 _________ ______

Y= m = b = Ex6)

Y= m = b = Ex7)

Essential Question Describe how the slope-intercept form of an equation helps you graph the equation.