Determine the intercepts of the line that passes through the following points (10,20) (15,12) (20,4)

x intercept is (45/2,0)

y intercept is (0,-36)

Step-by-step explanation:

Slope intercept form of equation of line is

y=mx+b where m is the slope and b is the y intercept

use any two points to find the slope

(10,20) (15,12)

m = -8/5

now we find out b using (10,20)

20 = -16 + b

add 16 on both sides , so b = 36

b is the y intercept , so y intercept is (0,-36)

Now we find x  intercept

equation of line is y=mx+b that is

To find x intercept plug in 0 for y

subtract 36 on both sides

Multiply by -5/8 on both sides

x intercept is (45/2,0)

answer: i'm great at algebra

~coco

step-by-step explanation: