SOLUTION: please help me answer Write the equation of the line that passes through (3,-5) and (5,7) thanks

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Question 192690: please help me answer

Write the equation of the line that passes through (3,-5) and (5,7)

thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line that passes through the points (3, -5) and (5, 7)
You could use the "slope-intercept" form of the equation: y = mx+b where m = slope and b = y-intercept.
To find the slope:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Using the x- and y-coordinates of the given points, make the appropriate substitutions:
m+=+%287-%28-5%29%29%2F%285-3%29 Simplify.
m+=+12%2F2
m+=+6
So now you have:
y+=+6x%2Bb and you need to find b, the y-intercept. Use the x- and y-coordinates of either one of the two given points and substitute:
7+=+6%285%29%2Bb
7+=+30%2Bb Subtract 30 from both sides.
-23+=+b
Now you can write the final equation in slope-intercept form:
highlight_green%28y+=+6x-23%29