Conquer the College Math Placement Challenge 2026 – Step Up and Shine!

To find the equation of the line that passes through two points, specifically (−2, 4) and (−4, −2), we start by calculating the slope of the line using the formula:

\[

m = \frac{y_2 - y_1}{x_2 - x_1}

\]

Substituting in the given points, we have:

\[

m = \frac{-2 - 4}{-4 - (-2)} = \frac{-6}{-4 + 2} = \frac{-6}{-2} = 3

\]

Now that we have the slope (m = 3), we can use the point-slope form of the equation of a line, which is:

\[

y - y_1 = m(x - x_1)

\]

We can choose either point; using (−2, 4):

\[

y - 4 = 3(x + 2)

\]

Distributing the slope:

\[

y - 4 = 3x + 6

\]

Now, solve for y:

\[

y = 3x + 10

\]

This matches the equation provided in option A. Therefore