Question

Write an equation of the line passing through the point (5,8) that is parallel to the line 7x + 5y = 3.

Answer 1

y-8=-7/5(x-5)

Explanation:

find the slope by rewriting the line's equation.

5y=3-7x

5y=-7x+3

y=-7/5x +3/5

since its parallel, the slope will be the same (-7/5)

use the formula y-y1=m(x-x1) for the point (5,8)

y-8=-7/5(x-5)

rearrange in the form y=mx+b if you wish.