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Environmental Studies Homework

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Mathematics

Question:

Given the following two points, (- 4, - 2) & (-1, - 5), develop an equation in the
slope-intercept format.
 
Answer:

Equation of line y = mx+ c

m is the gradient, a measure of steepness for the line

m = Change in y

      Change in x


m =   -2-(-5)

        -4-(-1)

note how the numbers in brackets are in the same position

m = -2+5  3   = -1

       -4+1     -3

You need to use the m value, by substation to find the value of c.

m = -1 (-4, -2) x = -4, y = -2
-2 = -1(-4) + c
-2 = 4 + c
-6 = c

The equation is y = -x - 6

Note we do not write -1x this is, by convention, written as -x.


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