Question

Write an equation for the line that passes through (2,-5) and is parallel to the line 2y=3x+10

Answer 1

Answer:

$y = \frac{3}{2} x-8$

Step-by-step explanation:

Firstly, let's get y by itself in the equation.

$y = \frac{3}{2}x + 5$

Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:

$y = \frac{3}{2}x + b$

To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:

$-5 = \frac{3}{2}(2) + b$

Now solve:

$-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b$

We have found the y-intercept, now we can write the full equation:

$y = \frac{3}{2} x-8$

I hope this helps!!

- Kay :)