Question

The points(13,-6) and (8,-11) fall on a particular line. What is its equation in slope- intercept form?

Answer 1

Answer:

y = x - 19

Step-by-step explanation:

Slope intercept form of a line is y = mx + b.

• y = y-coordinate
• m = slope
• x = x-coordinate
• b = y-intercept.

To find slope we use the formula $\frac{y_2-y_1}{x_2-x_1}$

• $\frac{-11+6}{8-13}$
• $-5/-5$
• $1$

Now, to find the y-intercept we take the values of a point and plug them into our equation so far.

• $-6=13+b$
• $-6-13=13+b-13$
• $b = -19$  

Therefore, the answer is y = x - 19.

Have a lovely rest of your day/night, and good luck with your assignments! ♡