Question

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)
Question 1 options:

1) y = x + 7
2) y = -3x + 3
3) y = x + 3
4) y = -3x + 7

Answer 1

y = -3x + 12
first we need to find the slope in the equation given. In y = mx + b form, the m position is the slope. Therefore, the slope(m) = -3.
A parallel line will have the same slope. So the slope we need will also be -3.

Now we use y = mx + b, and since we already know the slope(m), we need to find the y intercept(b).

y = mx + b
slope(m) = -3
points given : (-1,6)....x = -1 and y = 6
now we sub and solve for b, the y intercept
6 = -3(-1) + b
6 = 3 + b
6 - 3 = b
3 = b

so our parallel line will be : y = -3x + 3

Answer 2

thank you!!
do you have time to answer one more for me please?