hello :
Hello : let
A(6,-20) B(9,-12)
the slope is : (YB - YA)/(XB -XA)
(-12+20)/(9-6) = 8/3
an equation is : y=ax+b a is a slope
y = (8/3)x +b
the line through point C (12,-4) :
-4 = (8/3)(12)+b
b =-36
the equation is : y =(8/3)x-36
1)
y-intercept when : x= 0 so : y=(8/3)(0)-36 =-36 at the point ; D(0, -36)
2)
x-intercept when : y= 0 : (8/3)x -36=0
(8/3)x =36
x = 36/(8/3) = (36)(3)/8 =13.5 at the point ; H(13.5, 0)
