Question

passing through (-9,2) and parallel to the line whose equation is 9x-7y-5=0. The equation of the line is?​

Answer 1

The answer to the question

Answer 2

reordering the equation we get:

$y = \frac{9}{7} x - \frac{5}{7}$

the coefficient of x in parallel lines should be the same.

line equation:

$y - y0 = m(x - x0)$

so

$y - 2 = \frac{9}{7} \times (x - ( - 9))$

and we get

$y = \frac{9}{7} x + \frac{81}{7} + 2$

$y = \frac{9}{7} x + \frac{95}{7}$