Answer:
y = 3/2x - 8
Explanation:
Answer: y = 3/2x - 8 (i think)
To start this equation off, you would have to put 2y = 3x + 10 into its slope intercept form (y = mx + b). To simplify the equation, you would have to divide both sides by 2, so we can have one singular y. This would leave you with something like this:
y = (3x + 10) / 2
y = 3/2x + 5
Now that we have this equation, we can actually start solving for the equation of the line. Since we are told that the line is parallel to the one we already have the equation for, we know the slope (3/2) will be the same. Therefore, we can fill this out in our slope intercept form:
y = 3/2x + b
Keep in mind that x and y are for the coordinates, and aren't exactly variables for this instance.
To solve for b, we now have to substitute. Our x = 2, and our y = -5. This would leave us with an equation that looks something like this:
-5 = (3/2 x 3) + b
-5 = 3 + b
Now, we would just have to solve for b. Subtract 3 on both sides, and you'll get that b = -8. Going back to the slope intercept form layout, we now have everything we need to fill it out! We went from this:
y = mx + b
To this:
y = 2/3x - 8
We substituted m (stands for slope) with 2/3 (the actual slope for this equation). Then, we substituted the variable b with -8. Negatives and positives cancel out, so it would turn into y = 2/3x - 8.
I'm honestly not too sure if this is right but I hope it helps!