9514 1404 393
Answer:
A) y = -4x -1
Explanation:
Trying the given point in the offered equations quickly tells you that the correct choice is ...
y = -4x -1
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In the first equation, (x, y) = (-1, 3) gives ...
3 = -4(-1) -1= 4 -1 . . . . true
The remaining equations cannot give this same result, so equation A is the correct choice.
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Additional comment
If you want to write your own equation, the slope would be ...
m = (y2 -y1)/(x2 -x1) . . . . from the points on the parallel line
m = (15 -(-5))/(-2 -3) = 20/-5 = -4
The y-intercept would be ...
b = y -mx . . . . from the given point
b = 3 -(-4)(-1) = 3 -4 = -1
Then the slope-intercept equation is ...
y = mx +b
y = -4x -1