What is the equation of the line that goes through #(-1, -5)# and #(0, 5)#?

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Answer 1 · 2016-09-24T11:12:22

#y = color (blue)(10)x +color (red) (5)#

The equation of a straight line can be written in the form

#y = mx + c#

With #x# and #y# as coordinates, #m# as the gradient of the line and #c# as the #y# intercept (where the line crosses the #y# axis).

First we find the gradient, using the equation

#m = (rise)/(run)#

Rise is the difference in the two #y# coordinates and
Run is the difference between the two #x# coordinates.

#m = (10)/(1)#

#m = 10#

Now we substitute in the known values into #y = mx + c# to get

#5 = 10(0) + color(red)(c)#

Which is;

#5 = c#

Therefore the full equation, in the form #y=color (blue)(m)x+color (red)c# is

#y = color (blue)(10)x +color (red) (5)#