Question

Give the equation of a line that passes
through (9,2) and is parallel to:
y = 3x - 6

Answer 1

y = 3x - 25

Explanation:

If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

2 = 3(9) + b

2 = 27 + b

-25 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = 3x - 25

So, the equation of the line is y = 3x - 25