Answer:
[tex]5y - 3x = 70[/tex]
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.
[tex]y = \frac{3}{5}x - \frac{7}{5} [/tex]
The slope of this line , when we compare to y=mx+c is
[tex]m = \frac{3}{5} [/tex]
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:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the slope and point to get:
[tex]y - 8 = \frac{3}{5}(x - - 10)[/tex]
We expand to get:
[tex]y - 8 = \frac{3}{5}x + 6[/tex]
[tex]y = \frac{3}{5}x + 14[/tex]
[tex]5y - 3x = 70[/tex]
