how do you graph a line passing through (−1,−5) with a slope of m=15.?

Put a dot at (-1, -5)

m = 15 means a rise of 15 in y 
for each run of 1 in x

Therefor 
go +1 in x from -1 to 0
go  +15 in y from -5 to 10

put a dot at (0, 10)

Then draw a line through the two dots


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