Question

Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6).

Answer 1

y = -3x + 12
In y = mx + b form, the m is the slope.
In this equation, -3 is the slope.

A parallel line will have the same slope, so the slope we will use is -3.

y = mx + b
(-1,6) x = -1 and y = 6
slope(m) = -3
now we sub
6 = -3(-1) + b
6 = 3 + b
6 - 3 = b
3 = b

your parallel equation is : y = -3x + 3
or if you need it in standard form, it is : 3x + y = 3

Answer 2

Thanks

Answer 3

sure thing :)