Write the equation in slope intercept form parallel to the line x + 4y = 6 and passes through (-8, 5)

Elliana Molina

Elliana Molina

Answered question

2022-11-06

Write the equation in slope intercept form parallel to the line x + 4y = 6 and passes through (-8, 5)

Answer & Explanation

dilettato5t1

dilettato5t1

Beginner2022-11-07Added 25 answers

The only purpose of giving the parallel line is to find the slope of the new equation. (parallel lines have the same slope)
So, first we find the slope of the given line
x + 4 y = 6
4 y = - x + 6
y = - 1 4 x + 6 4
Okay, the slope of this line is -1/4, so the slope of the new line is also -1/4 because it is parallel
Now for the new line, we have y = - 1 4 x + b
Since we are given a point, we can just plug in -8 for x and 5 for y and solve for the missing variable b.
5 = - 1 4 ( - 8 ) + b
5 = 2 + b
3 = b
So we have all of our missing pieces, and we put it into one equation.
y = - 1 4 x + 3
And we are done.

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