Answer:
[tex]y = \frac{3}{2} x-8[/tex]
Step-by-step explanation:
Firstly, let's get y by itself in the equation.
[tex]y = \frac{3}{2}x + 5[/tex]
Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:
[tex]y = \frac{3}{2}x + b[/tex]
To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:
[tex]-5 = \frac{3}{2}(2) + b[/tex]
Now solve:
[tex]-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b[/tex]
We have found the y-intercept, now we can write the full equation:
[tex]y = \frac{3}{2} x-8[/tex]
I hope this helps!!
- Kay :)
