Question

Find the equation of the line passing through the points (1.-2) and (-2,7). Write the equation in slope-intercept form. A) y = 3x + 13 B) y = 3x - 5 C) y = -3x -2 D) y = -3x + 1

Answer 1

The equation is of the form y=mx+b, where m = slope and b = y-interset. Therefore, find m and b:

For m

`m=(y2-y1)/(x2-x1)=(7-(-2))/(-2-1)=(7+2)/(-3)=(9)/(-3)=-3`

For b

`\begin{gathered} y=mx+b \\ -2=-3(1)+b \\ -2=-3+b \\ -2+3=-3+b+3 \\ b=1 \end{gathered}`

So, the equation is:

`y=-3x+1`

Answer: D.