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What is the equation of the line in point-slope form that passes through the points (2, -3) and (-1, 9)?

A) y = -4x + 5
B) y = 4x - 15
C) y = -6x + 15
D) y = 6x - 15

User Neelsg
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1 Answer

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Final answer:

The equation of the line in point-slope form that passes through the points (2, -3) and (-1, 9) is found by calculating the slope, which is -4, and using one of the points to write the equation. The correct equation is y = -4x + 5.

Step-by-step explanation:

To find the equation of the line in point-slope form that passes through the points (2, -3) and (-1, 9), we first need to calculate the slope of the line. The slope (m) is given by the change in y over the change in x, so:

m = (y2 − y1) / (x2 − x1)

m = (9 − (-3)) / (-1 − 2)

m = (9 + 3) / (-1 - 2)

m = 12 / (-3)

m = -4

Now we have the slope and one point, we can plug it into the point-slope formula, y − y1 = m(x − x1), which gives us:

y − (-3) = -4(x − 2)

y + 3 = -4x + 8

y = -4x + 5

Answer: A) y = -4x + 5

User Aaditya Kalsi
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