180k views
2 votes
Write the equation of the line that goes through the points (9,-9) and (13,-1)

User Antohoho
by
8.6k points

1 Answer

3 votes

Final answer:

The equation of the line that goes through the points (9,-9) and (13,-1) is y = 2x - 27, where the slope (m) is 2 and the y-intercept (b) is -27.

Step-by-step explanation:

The question involves finding the equation of a line that passes through the points (9,-9) and (13,-1). To find the equation, we need to determine the slope (m) and the y-intercept (b) of the line. The slope can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.

First, calculate the slope:

m = (-1 - (-9)) / (13 - 9)

m = (8) / (4)

m = 2

Now with the slope, use point-slope form to create the equation, which is y - y1 = m(x - x1). Selecting point (9, -9):

y - (-9) = 2(x - 9)

y + 9 = 2x - 18

y = 2x - 27

This is the equation of the line in slope-intercept form, which is y = mx + b.

User Dmaclach
by
8.1k 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