Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
[tex] \frac{2}{2} y = \frac{3}{2} x + \frac{10}{2} [/tex]
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
[tex]y = \frac{3}{2} x - 8[/tex]
