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Write the point-slope form of the equation of the line through the given point with the given slope.

through: (-5, -3), slope =4/9

User Jeiwan
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1 Answer

3 votes

Answer:

-3 - 1 = 4/9(-5 - 4)

Explanation:

Point-Slope form uses the formula y-y1=m(x-x1).

m is the slope, which they gave you, so you can substitute it into the formula:

y - y1 = 4/9(x - x1).

They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.

-3 - y1 = 4/9(-5 - x1)

y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).

Substitute the x and y values of that point into the equation as well and you have your answer:

-3 - 1 = 4/9(-5 - 4)

Write the point-slope form of the equation of the line through the given point with-example-1
User Ymonad
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