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Objective• Write equations in slope-intercept form.• Identify slope and y-intercept from an equation.
3.2Slope-Intercept
Form of a Linear Equation
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Slope–Intercept Form
of a Linear Equation
y = mx + bm represents the slope
b represents the y-intercept
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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).
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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) =
y – intercept (b) =
We have both!! Plug them into slope-intercept form
y = mx + b
y = 2x + 6
2
6
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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
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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
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Find the slope and y-intercept.
2) y = x
y = mx + b
y = x + 0
3) y = 5
y = mx + b
y = 0x + 5
2
3m =
b = 0
2
3
2
3
m = 0b = 5
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-3 -3 -3
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
y = x – 25
3m =
b = -2
5
3
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Write it in slope-intercept form. (y = mx + b)
2y + 2 = 4x
2y = 4x – 2
y = 2x – 1
Find the slope and y-intercept. 5) 2y + 2 = 4x
2 2 2
m = 2b = -1
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Find the slope and y-intercept of y = -2x + 4
1. m = 2; b = 4
2. m = 4; b = 2
3. m = -2; b = 4
4. m = 4; b = -2
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Assignment
3.2 Worksheet