Question

What is the equation of the line that is parallel to 3x-5y=7 and passes through the point (-10,8)

Answer 1

Answer:

$5y - 3x = 70$

Step-by-step explanation:

The given line has equation:

3x-5y=7

We need to determine the slope of this line, so we rewrite in slope intercept form.

$y = \frac{3}{5}x - \frac{7}{5}$

The slope of this line , when we compare to y=mx+c is

$m = \frac{3}{5}$

All parallel lines have the same slope.

Hence our line also has the same slope

This line passes through (-10,8).

The equation is given by:

$y-y_1=m(x-x_1)$

We substitute the slope and point to get:

$y - 8 = \frac{3}{5}(x - - 10)$

We expand to get:

$y - 8 = \frac{3}{5}x + 6$

$y = \frac{3}{5}x + 14$

$5y - 3x = 70$