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What is the equation of the line that has a slope of -4 and passes through the point (2, 4)

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Answer:

y = -4x + 12

Explanation:

Use the slope-intercept form of the equation of a line.

y = mx + b,

where m is the slope, and b is the y-intercept.

We are told the slope is -4, so we get:

y = -4x + b

To find b, we plug in the coordinates we are given for x and y and solve for b.

y = -4x + b

4 = -4(2) + b

4 = -8 + b

12 = b

b = 12

Now we plug in 12 for b to get:

y = -4x + 12

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