Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)

Answer 1

The slope of a parallel line is the same. Need to manipulate that equation to find the slope.

3x-4y=7 Subtract 3x from both sides

-4y=-3x+7 Divide both sides by -4

y=3/4x-7/4

If m=3/4, the parallel line slope is also 3/4. We plug this and the point given into the following equation

(y-y₁)=m(x-x₁)

(y-(-2))=3/4(x-(-4)) Simplify and use the distributive property

y+2 = 3/4(x+4)

y+2=3/4x+3 Subtract 2 from both sides

y+2-2=3/4x+3-2

y=3/4x+1

You will have to manipulate equations to see which are equal to this. They are all running together, I can't tell which parts go with what.