Question

What is an equation of the line that passes through the point (1,-3) and is parallel to the line 4x+y=4?

Answer 1

Answer:

y=-4x+1

Step-by-step explanation:

we know that parallel lines have equal slopes

first, we need to put 4x+y=4 into y=mx+b form

4x+y=4

-4x    -4x

y=-4x+4

this means we have a slope of -4

we now know the new slope has to be -4

since we are given a point, we can put this into slope point form

the equation for this is y-y1=m(x-x1) with m posing as our slope

now we plug in

y--3=-4(x-1)

y+3=-4x+4

-3           -3

y=-4x+1

we now know the y-intercept is 1