Question

Write the equation of the line in slope intercept form that is parallel to y=8x+5 and goes through the point (-2,8)

Answer 1

The equation of the line would be y = 8x + 26

Explanation:

In order to find the equation, we first need to note that they will have the same slope due to the definition of parallel lines. Knowing that, we can use the slope and point to find the equation.

y - y1 = m(x - x1)

y - 8 = 8(x + 2)

y - 8 = 8x + 18

y = 8x + 26

Answer 2

y = 8x + 24

Explanation:

The slope of a parallel line is the same as the slope in the equation given. Use that slope (8) and the point given (-2, 8) and plug into y = mx + b to find b

8 = -2 (8) + b

8 = -16 + b

24 = b

Write the new equation with the m and b

y = 8x + 24