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What is the equation of the line that passes through the point(4,-7) and has a slope of -3?

User Hbogert
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2 Answers

5 votes
Answer: y+7=-3(x-4) or y=-3x-5

So when you got a question like this, DONT USE SLOPE INTERCEPT FORM. Always use point slope form, which is y-y₁=m(x-x₁). Please refer to my work (the attached picture) for more in depth work.
What is the equation of the line that passes through the point(4,-7) and has a slope-example-1
User Rimer
by
9.1k points
7 votes
Answer: y + 7 = -3(x-4)

Template Equation : y - y1 = m(x - x1)

y1 represents the y value in the coordinate (-7)
x1 represents x value in the coordinate (4)

M = slope

Thus y - (-7) = y + 7
Because negative times a negative is positive

Then you just put together to get the equation y + 7 = -3(x-4)

Hope this helps:)
Sorry if I made a typo or a mistake:)
User Mamdouh Alramadan
by
8.2k points

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