Answer:
The y -intercept is (0,36).
The x-intercept is (22.5,0)
Step-by-step explanation:
To find the intercepts, write the equation in slope intercept form. First, find the slope of the line using the two points. Find the difference in y values over the difference in x values.
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{4-12}{20-15}=\frac{-8}{5}[/tex]
Write the equation using the slope m=-8/5 and the point slope form.
[tex]y-y_1=m(x-x_1)\\y-20=\frac{-8}{5}(x-10)[/tex]
This is the equation of the line. You can convert it to slope intercept form:
[tex]y-20=\frac{-8}{5}(x-10)\\y-20 = \frac{-8}{5}x + 16\\y=\frac{-8}{5}x +36[/tex]
The y -intercept is (0,36).
To find the x-intercept, plug in 0 for y.
0=-8/5 x +36
-36 = -8/5x
-36 * -5/8 = x
22.5 = x
The x-intercept is (22.5,0)
