Question

(A) Write an equation for the line that contains (2, -6) and is parallel to y = 3x + 9.

(B) Write the equation of the line that is parallel to -4x + 3y = 21 and has the same y-intercept as -3x + 4y = 8.

Answer 1

Hey!
Here’s the answer and set up for A
First you need to find the slope. Since the line is parallel to 3x+9. The slope will be the same so the slope will be 3. Next you need to put it in point slope and switch the sign so if it’s positive it’s going to be negative
This is what it will look like using point slope formula
(y+6)=3(X-2)
Then you will distribute the 3
(Y+6)=3x-6
Finally you will subtract the 6 from the left side so
Y=3x-12 will be your line. Now just do the same thing to B!
Hope this helped!!