SOLUTION: needing help in math. Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0,0)?

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Question 39746: needing help in math.
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0,0)?
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the "point-slope" form: y+=+mx+%2B+b, you'll need to find the slope, m, of the line that passes through the points (1, 5) and (0, 0).
The slope of a line is given by:
m+=+%28y2-y1%29%2F%28x2-x1%29 Where: (x1, y1) is (1, 5) and (x2, y2) is (0, 0), so substituting these values into the slope formula, you get:
m+=+%280-5%29%2F%280-1%29
m+=+%28-5%29%2F-1
m+=+5 Now you substitute this value of m into the point-slope form.
y+=+5x+%2B+b Next, you will substitute the x and y values from either one of the two given points and solve for b, the y-intercept.
Choosing the first point (1, 5), you'll get:
5+=+5%281%29+%2B+b Simplify and solve for b. Subtract 5 from both sides of the equation.
b+=+0
Now you can write the final equation in the point-slope form:
y+=+5x Since b = 0, you won't need to put it in the equation.