Question

What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?

Answer 1

Answer:

Step-by-step explanation:

First, put -4x+y=7 into y=mx+b format

move -4x to the other side (or add 4x on both sides)

y=4x+7

now, parallel lines have the same slopes, but not the same y intercepts.

So, you already know the slope of your new line

y=4x+b

now we need to find b (y intercept)

take the point (4,-3) and put it into the equation above

-3=4(4)+b

-3=16+b

move 16 to the other side (or subtract 16)

-19=b

therefore the new line will be y=4x-19

Hope this helps!