## Write the equation in slope-intercept form of a line that has a slope of One-third and passes through the point (-6, 0). y = one-third

Question

Write the equation in slope-intercept form of a line that has a slope of One-third and passes through the point (-6, 0).

y = one-third x

y = one-third x minus 6

y = one-third x minus 2

y = one-third x + 2

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Math
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2022-02-19T05:34:00+00:00
2022-02-19T05:34:00+00:00 2 Answers
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## Answers ( )

Answer:y = one-third x + 2

Step-by-step explanation:Did on edge

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 –> (0, y) or the point where the line crosses through the y-axis)

You know:

m = [tex]\frac{1}{3}[/tex] So substitute/plug it into the equation

y = mx + b

[tex]y=\frac{1}{3} x+b[/tex] To find b, plug in the point (-6, 0) into the equation, the isolate/get the variable “b” by itself

[tex]0=\frac{1}{3} (-6)+b[/tex]

0 = -2 + b Add 2 on both sides to get “b” by itself

0 + 2 = -2 + 2 + b

2 = b

[tex]y=\frac{1}{3} x+2[/tex]

Your answer is the 4th option