## 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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3 months 2022-02-19T05:34:00+00:00 2 Answers 0 views 0

y = one-third x + 2

Step-by-step explanation:

Did on edge

2. 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 = $$\frac{1}{3}$$      So substitute/plug it into the equation

y = mx + b

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

$$0=\frac{1}{3} (-6)+b$$

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

0 + 2 = -2 + 2 + b

2 = b

$$y=\frac{1}{3} x+2$$       Your answer is the 4th option