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point E is located at -5,-4 point C is located at 1,2 determine the slope -intercept equation of line EC

User Sarreph
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1 Answer

7 votes

Explanation:

the slope-intercept form always looks like

y = ax + b

with "a" being the slope, "b" being the y-intercept (the y- value when x = 0).

the slope is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another.

we got 2 points

(-5, -4) and (1, 2)

x changes by +6 (from -5 to 1).

y changes by +6 (from -4 to 2).

so, the slope (a) is +6/+6 = 1.

we get "b" by using the coordinates of one of the given points (I pick (1, 2)) in the "half-finished" equation :

2 = 1×1 + b = 1 + b

b = 1

so, our equation is

y = x + 1

User Saranga B
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