SOLUTION: hello the question is "find the equation on a straight line that passes through the points (2,7) and (14,31)" please can you explain how to do this ??

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Question 661733: hello the question is "find the equation on a straight line that passes through the points (2,7) and (14,31)" please can you explain how to do this ??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation on a straight line that passes through the points (2,7) and (14,31)"
:
Assign the given pairs as follows:
x1 = 2; y1 = 7
x2 = 14; y2 = 31
:
Find the slope using the slope formula m = %28y2-y1%29%2F%28x2-x1%29
m = %2831-7%29%2F%2814-2%29 = 24%2F12 = 2
:
Find the equation using the point/slope formula: y - y1 = m(x - x1)
y - 7 = 2(x - 2)
y - 7 = 2x - 4
y = 2x - 4 + 7
y = 2x + 3 is the equation for the given line
:
You can confirm this for yourself, replace x with 2, find y, should = 7
Do the same with the 2nd pair