Identify the equation in slope-intercept form for the line parallel to y=-3x+7 that passes through (2,-4).
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D. 1 the parallel line must have the same slope as the original line. 2 if the slope is -3 and it passes through 2,-4 then it must pass through 0,2 aswell. this is the y intercept. therefore, y=-3x + 2.
Answer:
D. y = -3x + 2
Step-by-step explanation:
The problem says the line is parallel to the one following the equation y = -3x + 7, so the equation we're looking for has to be the same format (y = -3x + something) in order to be parallel to the one in the problem.
That leaves answers A and D.
We know that the line we're looking for passes through the point (2,-4)... thus if x = 2, y = -4.
If you try x = 2 in equation A, you'll get +4. we're looking for -4.
If you try x = 2 in equation D, you get -4, what we are looking for.