Question

What is the equation of the line with an x-intercept of -2 and a y-intercept of 1?

Answer 1

You have two points already. (-2, 0) and (0, 1).

Answer 2

Find the slope, then put it in the form of y = mx + b.

Answer 3

Slope formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(y_2 = 1\)
\(y_1 = 0\)

\(x_2 = 0\)
\(x_1 = -2\)

\(m = \dfrac{1-0}{0--2}\)

\(m = \dfrac{1-0}{0+2}\)

\(m = \dfrac{1}{2}\)

So your slope is 1/2.

Answer 4

y = mx + b

Where m = slope and b = y-intercept.

You already have the y-intercept and slope so:

y = 1/2x + 1

Answer 5

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