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=(y2-y1)/(x2-x1)`

replace with the points given

`m=(-1-(3))/(2-0)=(-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`