Write the equation of a line passing through (-5, 2) and parallel to the line whose equation is y=-4x +3

clealtAfforcewug

clealtAfforcewug

Answered question

2022-11-11

Write the equation of a line passing through (-5, 2) and parallel to the line whose equation is y=-4x +3

Answer & Explanation

artirw9f

artirw9f

Beginner2022-11-12Added 20 answers

We know that the slope of the line is 4 units down for every 1 unit to the right, and that the line intercepts the y axis at 3. A parallel line will have a different y intercept but the same slope, so we already know that the equation must be y=−4x+b, with b as the y intercept.
We also know that the line passes through point (-5,2). We can thus substitute x and y for -5 and 2 respectively, to find b.
2 = ( - 4 2 ) + b
Simplify the equation
2 = - 8 + b
Add 8 to both sides
10=b
b=10
y=−4x+10

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?