SOLUTION: Write the equation of the line with x intercept (-20,0) and y intercept (0,-5) Show all work

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Question 117108: Write the equation of the line with x intercept (-20,0) and y intercept (0,-5)
Show all work
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The line goes through the points (-20,0) and (0,-5)
The slope equation is:
m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
P[1] is (x[1],y[1]) = (-20,0)
P[2] is (x[2],y[2]) = (0,-5)
m+=+%28-5+-+0%29+%2F+%280+-+%28-20%29%29
m+=+%28-5%29+%2F+20
m+=+-%281%2F4%29
The slope -intercept form of a line is
y+=+mx+%2B+b
so far, I have
y+=+-%281%2F4%29x+%2B+b
b is the y-intercept. Given that the line goes through (0,-5),
b+=+-5
y+=+-%281%2F4%29x+-+5 answer
check answer
Does the line go through the given points?
(-20,0)
y+=+-%281%2F4%29x+-+5
0+=+-%281%2F4%29%2A%28-20%29+-+5
0+=+5+-+5
OK
(0,-5)
-5+=+-%281%2F4%29%2A0+-+5
-5+=+-5
OK