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Answer:
y = −3x −1
Step-by-step explanation:
The slope of the line between the two given points (-1, 2) and (1, -4) can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -2)/(1 -(-1)) = -6/2 = -3
The slope is the coefficient of x in the slope-intercept equation for a line. Only one answer choice shows a slope of -3:
y = -3x -1
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Additional comment
If you plot the given points and draw a line through them, you see that the y-intercept is -1. Or, you can use this equation to find the y-intercept from one of the points.
b = y - mx
b = 2 -(-3)(-1) = 2 -3 = -1
Now you know m=-3 and b=-1, so you can fill in the slope-intercept form equation:
y = mx +b
y = -3x -1
