SOLUTION: Find the equation (in terms of x) of the line through the points (-5,1) and (5,4)

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Question 1176829: Find the equation (in terms of x)
of the line through the points (-5,1) and (5,4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=mx%2Bb where m is a slope and b is y-intercept
given:of the line through the points (-5,1) and (5,4)
line passing through (-5, 1) and (5,4)
use points to find slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%284-1%29%2F%285-%28-5%29%29
m=3%2F%285%2B5-2%29
m=3%2F10
so far equation is

y=+%283%2F10%29x%2Bb .......us a point (5,4) to find b
4=+%283%2F10%295%2Bb
4=+15%2F10%2Bb
4-15%2F10=b
b=5%2F2

and your equation is
y=+%283%2F10%29x%2B5%2F2