155k views
0 votes
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
by
8.0k points

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
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories