Find out the answer to "Write the equation of a line parallel to..."

Lloyd Allen

Answered question

2021-11-13

Write the equation of a line parallel to the line:

y = \frac{1}{3} x

that goes through the point (1,-8). Write in slope intercept form and simplify fractions for slope intercept if necessary

Julie Mathew

Beginner2021-11-14Added 15 answers

Step 1
Given equation of line

y = \frac{1}{3} x

, point (1, -8).
Step 2
Slope of this equation

= \frac{1}{3}

parallel line slope

= \frac{1}{3} ∵ m_{1} = m_{2}

Slope -intercept form

y = m x + b

--(1)

m =

slope,

b =

y-intercept
Step 3
Now substitute the values of slope

m = \frac{1}{3}

and point

(x, y) = (1, - 8)

\Rightarrow - 8 = \frac{1}{3} (1) + b

\Rightarrow - 8 - \frac{1}{3} = b \Rightarrow b = \frac{- 25}{3}

Now substitute the values of b and m in eqn (1)

y = \frac{1}{3} x - \frac{25}{3}

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