Question

What is the equation of the line expressed in slope-intercept form?
A.y = –6x – 1
B.y = 6x + 1
C.y = x – 6
D.y = –x + 6

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Answer 1

What's the y-intercept here?

The y-intercept is the place where the line crosses the y-axis.

Answer 2

-6?

Answer 3

Yep, you got it.

Answer 4

Now we have to find the slope, we can take any two points on the line and plug them into the formula.

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

(0, -6) (6, 0)

\(m = \dfrac{0+6}{6-0}\)

Simplify that, tell me what you get.

Answer 5

\[\frac{ 6 }{ 6} = 1\]

Answer 6

Yep, so our final answer is:

\(y = 1x - 6\)

or

\(y = x - 6\)