Question

Find the equation of the line shown.

Answer 1

Answer: y=0.5x+0.5

Explanation:

`\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\(x-1)/(-3-1)=(y-1)/(-1-1) \\\\(x-1)/(-4)=(y-1)/(-2) \\`

Multiply both parts of the equation by -2:

`\displaystyle\\(x-1)/(2) =y-1\\\\(x)/(2)-(1)/(2) =y-1\\\\(x)/(2)-(1)/(2)+1 =y-1+1\\\\(x)/(2)+(1)/(2) =y \\`

Thus,

y=0.5x+0.5