Answer:
Step-by-step explanation:
Find the slope and then the equation of line.
(x₁ , y₁) = (2 , 2) & (x₂, y₂) = (6 , 10)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2[/tex]
m = 2
Equation of the line: y - y₁ = m(x - x₁)
y - 2 = 2 (x - 2)
y - 2 = 2x - 4
y = 2x - 4 + 2
y = 2x - 2 --------------(I)
(a, 8)
Plug in x = a & y = 8 in (I)
8 = 2a - 2
8 + 2 = 2a
10 = 2a
a = 10/2
a = 5
(4 , b)
Plug in x = 4 & y = b in (I)
b = 2*4 - 2
b = 8 - 2
b = 6
