Question

What is an equation of the line in slope intercept form?

a. y = 2x - 2
b. y = -2x - 2
c. y = -2x + 2
d. y = 2x + 2

Answer 1

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`\displaystyle y = 2x + 2`

Explanation:

Starting from the y-intercept of
`\displaystyle [0, 2],`travel south two units, then west one unit to the endpoint AND x-intercept of
`\displaystyle [-1, 0].`Doing so will give you the rate of change of 2:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-2 ± 0)/(0 - 1) = m \hookrightarrow (-2)/(-1) = m \\ \\ 2 = m`

With all the above information, you arrive at the equation of the line.

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