Graph using Slope-Intercept Form
A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept of the equation’s graph.Ex. y = mx + b slope y-intercept
y = x + 1
1
3
3
1
SOLUTION
EXAMPLE 1 Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equation.
y = 3x + 41. 3x + y = 22.
The equation is in the form y = m x + b. So, the slopeof the line is 3, and the y-intercept is 4.
a.
b. Rewrite the equation in slope-intercept form by solving for y.
EXAMPLE 1 Identify slope and y-intercept
3x + y-3x
= 2 -3x
Write original equation.Subtract 3x from each side
y = – 3x + 2 Put your variable term first, remember to keep the sign with the coefficient.ANSWER
The line has a slope of – 3 and a y-intercept of 2.
SOLUTION
EXAMPLE 1 Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equation.
The equation is in the form y = mx + b.So, the slope
of the line is 5, and the y-intercept is –3.
y = 5x – 3 2. 3x – 3y = 12
1.
GUIDED PRACTICE for Example 1
EXAMPLE 1 Identify slope and y-intercept
ANSWER
The line has a slope of : 1 and a y-intercept of –4.
GUIDED PRACTICE for Example 1
SOLUTION
Rewrite the equation in slope-intercept form by solving for y.
2. 3x – 3y = 12 Write original equation.
Divide 3 by equation.3x – 12 3
= 3y 3
Rewrite original equation.
y 3x - 12=
3
y x – 4= Simplify.
EXAMPLE 1 Identify slope and y-intercept
Identify the slope and y-intercept of the line with the given equation.
x + 4y = 63.
GUIDED PRACTICE for Example 1
EXAMPLE 1 Identify slope and y-interceptGUIDED PRACTICE for Example 1
ANSWER
The line has a slope of and a y-intercept of 1 . 41–
2
1
SOLUTION
Rewrite the equation in slope-intercept form by solving for y.
x + 4y-x
= 6-x
Write original equation.
Divide equation by 4.4y = – x + 6
Rewrite original equation.Subtract x from each side.
Simplify.– x
4+
6
4y=
– x + 6=
4
y4
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