example 1 identifying slopes and y -intercepts find the slope and y -intercept of the graph of the...
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EXAMPLE 1 Identifying Slopes and y -intercepts
Find the slope and y-intercept of the graph of the equation.
a. y = x – 3 b. – 4x + 2y = 16
SOLUTION
a. The equation y = x – 3 can be written as y = 1x + (– 3).
The line has a slope of 1 and a y-intercept of – 3.
ANSWER
EXAMPLE 1 Identifying Slopes and y -intercepts
SOLUTION
The line has a slope of 2 and a y-intercept of 8.
ANSWER
b. Write the equation – 4x + 2y = 16 in slope - intercept
form.– 4x + 2y = 16 Write original equation.
2y = 4x + 16 Add 4x to each side.
y = 2x + 8 Divide each side by 2.
GUIDED PRACTICE for Example 1
Find the slope and y-intercept of the graph of theequation.
1. y = 6x + 1
The line has a slope of 6 and a y-intercept of 1.
ANSWER
GUIDED PRACTICE for Example 1
2. y = x 41
The line has a slope of and a y-intercept of 0.
ANSWER
14
GUIDED PRACTICE for Example 1
The line has a slope of and a y-intercept of 2.
ANSWER
23
3. – 2x + 3y = 6
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