parallel lines and equations

Question

Use the given conditions to write an equation for the line in​ point-slope form and general form. Passing through (-9, 4) and parallel to the line whose equation is 5x-9y-2=0

Answer 1

Hi, Lisa! The key concept here is that parallel lines have the same slope.

Rearrange the equation they gave you so that it looks like y=mx+b. The m will be the slope of the line

point slope form: y-y₁=m(x-x₁) Plug in the point they gave you for x₁ and y₁ and the slope for m. That will give you the equation for the line in point-slope form.

General form: 0=Ax+By+C Rearrange the point slope equation you just found to get it in this form. Distribute m and subtract the y's to get everything on the same side.

I hope this helps!