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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-7}{4-(-2)}[/tex] (two negative signs cancel each other out and become positive)
[tex]m=\frac{-5-7}{4+2}[/tex]
[tex]m=\frac{-12}{6}[/tex] Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
