State the equation for each of the lines on the following graph?
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The equation of the lines are as follows;
The equation of a line can be represented as follows;
y = mx + b
where
Therefore, using the points,
(1, 2)(3, -4)
m = -4 - 2 / 3 - 1 = -6 / 2 = -3
2 = -3(1) + b
b = 2 + 3
b = 5
y = -3x + 5
(0, -6)(5, 0)
m = 6 / 5
Therefore,
-6 = 6 / 5(0) + b
b = -6
y = 6 / 5 x - 6
(0, 6)(1, 6)
m = 6 - 6 / 1 - 0 = 0
6 = 0(0) + b
y = 6
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