Answer:
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: −2
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Simplify each term.
Divide 32
by 2
.
8y=4x−1⋅16
Multiply −1
by 16
.
8y=4x−16
Divide each term by 8
and simplify.
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Divide each term in 8y=4x−16
by 8
.
8y/8=4x/8+−16/8
Cancel the common factor of 8
.
Cancel the common factor.
8
y8=4x/8+−16/8
Divide y
by 1
.
y=4x/8+−16/8
Simplify each term.
Cancel the common factor of 4
and 8
.
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Factor 4
out of 4x
.
y=4(x)8+−16/8
Cancel the common factors.
y=x/2+−16/8
Divide −16
by 8
.
y=x/2−2
Reorder terms.
y=1/2x−2
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m
and b using the form y=mx+b
.
m=1/2
b=−2
The slope of the line is the value of m, and the y-intercept is the value of b
