A line passes through the points (4, 5) and (-2, -7). What is its equation in point-slope form?

Question

A line passes through the points (4, 5) and (-2, -7). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

SnapAndSolve AI · Accepted Answer

To find the equation in point-slope form, we first calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (4, 5) and (-2, -7):

m = (-7 - 5) / (-2 - 4) = (-12) / (-6) = 2

Now, using the point-slope form equation y - y1 = m(x - x1), we can use either point. Let's use (4, 5):

y - 5 = 2(x - 4)

This is the equation of the line in point-slope form.

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A line passes through the points (4, 5) and (-2, -7). What is its equation in point-slope form?

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