Answer: (hope I got them correct)
A) -15/7
B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]
C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).
Step-by-step explanation:
A) Slope = [8-(-7)]/(-4-3) = -15/7
B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.
Substitute x=-4, y=8.
8=(-15/7)(-4)+c
c=-4/7
The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].
C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).
Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).