What is the slope of a line that passes through the point (-2, 3) and is parallel to a line that passes through (3, 7) and (-2, -8)
Parallel lines have the SAME slope. So find the slope of the line passing through (3,7) and (-2,-8) using the slope formula. That's your slope for the parallel line. (You don't need the point ON the parallel line just to find it's slope.)
What's the slope formula?
Is the answer-3
slope(m) = (y2 - y1) / (x2 - x1) (3,7) x1 = 3, and y1 = 7 (-2,-8) x2 = -2 and y2 = -8 now just sub that into your formula and that will be your slope
slope of a parallel line is same . \[slope of line=\frac{ y2-y1 }{x2-x1 }\]
check your signs. Make sure you are "lining up" the x's and y's of the same point, e.g., whichever y is first in the numerator, you need to use that point's x first in the denominator. If you flip then, you will have the wrong sign in the result.
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