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What is the point slope equation of a line with slope -3 that contains the point (-8,-4)?

1 Answer

4 votes

Answer:

y = -3x - 28

Explanation:

y = mx + b is the slope-intercept of a line. To write an equation in this form. I need to find the slope (m) and the y-intercept (b). Yay! They gave us the slope (m). It is -3. Now we just need to figure out the y. We can do that by plugging in the slope (-3) and using the x (-8) and the y (-4) that they gave us from the point to solve for b.

y = mx + b

-4 = -3(-8) + b Multiple -3(-8) Remember a negative times a negative is a positive.

-4 = 24 + b Now subtract 24 from both side of the equation

-28 = b Now we can write the equation

y = mx + b

y = -3x + (-28) or y = -3x -28. Adding a negative is the same as subtracting a positive.

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