Answer with explanation:
Equation of line Passing through two points (a,b) and (c,d) is given by:
[tex]\frac{y-b}{x-a}=\frac{d-b}{c-a}[/tex]
Equation of line Passing through two points (8,0) and (3,7) is given by:
[tex]\rightarrow \frac{y-7}{x-3}=\frac{7-0}{3-8}\\\\\rightarrow \frac{y-7}{x-3}=\frac{7}{-5}\\\\\rightarrow -5 y+35=7 x - 21\\\\\rightarrow 5 y= -7 x +35 +21\\\\ y=\frac{-7 x}{5}+\frac{56}{5}\\\\y=-1.4 x +11.2[/tex]
Comparing with slope intercept form of line,
y= m x+c, where , m is slope and c is y intercept.
⇒Y intercept = 11.2
Equation of line Passing through two points (5,5) and (3,7) is given by:
[tex]\rightarrow \frac{y-7}{x-3}=\frac{7-5}{3-5}\\\\y-7= -1 \times (x-3)\\\\y=7-x+3\\\\y=-x +10[/tex]
Comparing with slope intercept form of line,
y= m x+c, where , m is slope and c is y intercept.
⇒Y intercept = 10
Equation of line is, y= -x +10.
