Answer:
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)
[tex]slope = \frac{y_2-y_1}{x_2-x_1} =\frac{12-20}{15- 10} = \frac{-8}{5}[/tex]
m = -8/5
now we find out b using (10,20)
[tex]20 = \frac{-8}{5} (10)+b[/tex]
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 [tex]y = \frac{-8}{5}x+36[/tex]
To find x intercept plug in 0 for y
[tex]0= \frac{-8}{5}x+36[/tex]
subtract 36 on both sides
[tex]-36= \frac{-8}{5}x[/tex]
Multiply by -5/8 on both sides
[tex]-36*\frac{-5}{8}=x[/tex]
[tex]\frac{45}{2}=x[/tex]
x intercept is (45/2,0)
