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4 Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (-1,8

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Answer:

y = -2x + 6

Explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): -2

Point: (-1, 8)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we already know the slope is -2, we can move on to finding the y-intercept. To find the y-intercept, input the values of the slope and the point into the equation format and solve for b:

y = mx + b

8 = -2(-1) + b

8 = 2 + b

6 = b

The y-intercept is 6.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x + 6

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