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What is the equation of this line in slope-intercept form?

A: y = 4x + 1

B: y=−4x+1

C: y=4x−1

D: y=−14x+1

What is the equation of this line in slope-intercept form? A: y = 4x + 1 B: y=−4x-example-1

1 Answer

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Answer: B

Explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

We can first eliminate C, because the y-intercept of the graph is 1.

To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).

Slope = (y2 - y1) / (x2 - x1)

= (-3 - 5) / (1 - (-1))

= (-3 - 5) / (1 + 1)

= -8/2

= -4

Plug in the slope and y-intercept, we get y = -4x + 1

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