Question

A line passes through the point (2,−4) and has a slope of 12 . What is the y-coordinate of the point on the line when x = 8? (1 point) Responses −1 - 1 7 7 −2 - 2 8 8 5

Answer 1

To find the y-coordinate of the point on the line when x = 8, we can use the point-slope form of a linear equation.

The equation of the line passing through the point (2, -4) with a slope of 12 is:

y - y₁ = m(x - x₁)

Substituting the values:

y - (-4) = 12(x - 2)

Simplifying:

y + 4 = 12x - 24

Now, let's substitute x = 8 into the equation to find the y-coordinate:

y + 4 = 12(8) - 24

y + 4 = 96 - 24

y + 4 = 72

y = 72 - 4

y = 68

Therefore, the y-coordinate of the point on the line when x = 8 is 68.