Question

Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that is parallel to line m?

Answer 1

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

`m=(y_2-y_1)/(x_2-x_1)` And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-5-7)/(4-(-2))` (two negative signs cancel each other out and become positive)

`m=(-5-7)/(4+2)`

`m=(-12)/(6)` Simplify the fraction

m = -2

The slope is -2, so the parallel line's slope is also -2.

Your answer is C