SOLUTION: (4,y) and (-3,-6); slope:15/7

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Question 1092129: (4,y) and (-3,-6); slope:15/7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

(4,y) and (-3,-6);
slope:m=15%2F7
y=mx%2Bb where m is a slope and b is y-intercept
y=mx%2Bb plug in m=15%2F7 and coordinates of given point (-3,-6) to find b
-6=%2815%2F7%29%28-3%29%2Bb
-6=-45%2F7%2Bb
-6%2B45%2F7=b
-42%2F7%2B45%2F7=b
3%2F7=b

so, your equation is:y=%2815%2F7%29x%2B3%2F7
now find y coordinates of the point (4,y)
y=%2815%2F7%294%2B3%2F7
y=60%2F7%2B3%2F7
y=63%2F7
y=9-> the point is (4,9)