Answer:
[tex]y = 1.5x - 8[/tex]
Step-by-step explanation:
Step 1: Solve for y in the first equation
[tex]2y = 3x + 10[/tex]
[tex]\frac{2y}{2}=\frac{3}{2}x + \frac{10}{2}[/tex]
[tex]y = 1.5x + 5[/tex]
Step 2: Determine the important aspects
We know that our line is parallel to the other line that has a slope of 1.5 which means that our slope is also going to be 1.5. We also know that our line crosses the point (2, -5) which means that we can use the point slope form to determine our equation
Point Slope Form → [tex](y-y_1) = m(x - x_1)[/tex]
Step 3: Plug in the information and solve
[tex](y-(-5)) = 1.5(x - 2)[/tex]
[tex]y + 5 = 1.5x -3[/tex]
[tex]y + 5 - 5 = 1.5x -3 - 5[/tex]
[tex]y = 1.5x - 8[/tex]
Answer: [tex]y = 1.5x - 8[/tex]
