Question

Use the information given to enter an equation in standard form.(-1,1) and (0,9) are on the line.

Answer 1

Express the general equation of the line having two points (x1,y1) and (x2,y2).

$\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-1=\frac{9-1}{0--1}(x+1) \\ y-1=\frac{8}{1}(x+1) \\ y=8x+9 \end{gathered}$

The point slope form is y=8x+9

Convert it into standard form implies,

$8x-y=-9$

Therefore, the answer is 8x-y=-9.