80.7k views
4 votes
(3,-1) (-2,14) in y=mx b form

User Feihtthief
by
8.5k points

1 Answer

4 votes

Final answer:

To write the equation of a line given two points, first calculate the slope (m) using the rise over run, and then find the y-intercept (b) using the slope and one of the points. The final equation is y = -3x + 8.

Step-by-step explanation:

Given two points, (3,-1) and (-2,14), we can find the slope ('m') by calculating the rise over run.

To find the y-intercept ('b'), we can plug the value of the slope and one of the points into the equation and solve for 'b'.

Step 1: Calculate the slope (m)

m = (y2 - y1) / (x2 - x1)

= (14 - (-1)) / (-2 - 3)

= 15 / (-5)

= -3

Step 2: Find the y-intercept (b)

Using the point (3, -1) and the slope -3:

-1 = (-3)(3) + b
-1 = -9 + b
b = -1 + 9
b = 8

Therefore, the equation of the line in y=mx+b form is y = -3x + 8.

User Mmlooloo
by
8.2k 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