Question

Write an equation in slope-intercept form of the line passing through (0,3) and (2, -1).A.y= -2x +3B. y=-x+3C..y=2x +3D.y=-2x

Answer 1

find the slope with the formula

$m=\frac{y2-y1}{x2-x1}$

replace with the points given

$m=\frac{-1-(3)}{2-0}=\frac{-4}{2}=-2$

replace one of the points in the equation in the form }

$\begin{gathered} y=mx+b\text{ } \\ y=-2x+b \\ 3=(-2)\cdot(0)+b \\ 3=b \end{gathered}$

write the full equation

$y=-2x+3$