Download Slope-Intercept Form

3.2
Slope-Intercept
Form of a Linear Equation
Objective
• Write equations in slope-intercept form.
• Identify slope and y-intercept from an equation.
Slope–Intercept Form
of a Linear Equation
y = mx + b
m represents the slope
b represents the y-intercept
Writing Equations
When asked to write an equation for a
line in slope-intercept form, you need
to know two things:
1) slope (m)
2) y-intercept (b).
Writing Equations
Write an equation in slope-intercept form of the
line that has a slope of 2 and a y-intercept of 6.
To write an equation, you need two things:
slope (m) = 2
y – intercept (b) = 6
We have both!! Plug them into slope-intercept
form
y = mx + b
y = 2x + 6
Write the equation of a line that has
a y-intercept of -3 and a slope of -4.
A. y = -3x – 4
B. y = -4x – 3
C. y = -3x + 4
D. y = -4x + 3
To find the slope and y-intercept of
an equation, write the equation in
slope-intercept form: y = mx + b.
Find the slope and y-intercept.
1) y = 3x – 7
y = mx + b
m = 3, b = -7
Find the slope and y-intercept.
2
2) y = x
3
y = mx + b
2
y= x+0
2
m=
3
b=0
3
3) y = 5
y = mx + b
y = 0x + 5
m=0
b=5
Find the slope and y-intercept.
4)
5x – 3y = 6
Write it in slope-intercept form. (y = mx + b)
5x – 3y = 6
-3y = -5x + 6
-3
-3 -3
5
3
y= x–2
5
m=
3
b = -2
Find the slope and y-intercept.
5) 2y + 2 = 4x
Write it in slope-intercept form. (y = mx + b)
2y + 2 = 4x
2y = 4x – 2
2
2
2
y = 2x – 1
m=2
b = -1
Find the slope and y-intercept of
y = -2x + 4
1.
2.
3.
4.
m = 2; b = 4
m = 4; b = 2
m = -2; b = 4
m = 4; b = -2
Assignment
3.2 Worksheet