Find the formula of the linear function that passes through the points (-1,19) and (2,-8) ?

Question

Find the formula of the linear function that passes through the points (-1,19) and (2,-8) ?

Answer 1

y= -9x+10

Answer 2

y = mx + b (General formula of a linear function).

y = y coordinate

x = x coordinate

m = slope

b = y intercept

First you find the slope of the line, which is the (change in y) / (change in x).

So basically it's just (y#2 - y#1) / (x#2 - x#1).

So it's (-8 - 19) / (2 - -1) which is (-27) / (3) which is -9.

The slope is m = -9.

Then you take one of the coordinates and plug it into the general equation. I'm going to use (-1, 19). (x, y)

19 = (-9)(-1) + b

19 = 9 + b

10 = b

So the equation is y = -9x + 10.

Feel free to check it again. Hope it helps!

Answer 3

use the slope forumula , then y = mx + b