The equation in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept. To find the slope, we can use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Let's use the points (2,1) and (-1,-8) to find the slope:
m = (-8 - 1) / (-1 - 2) = (-9) / (-3) = 3
Now that we have the slope, we can substitute it along with one of the given points (2,1) into the slope-intercept form equation to solve for the y-intercept (b):
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
Therefore, the equation in slope-intercept form for the line passing through (2,1) and (-1,-8) is y = 3x - 5.
So, the correct answer is D. image
Write an equation in slope-intercept form for the line passing through (2,1) and (−1,−8).
A.
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B.
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C.
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D.
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