Answer:
C. y=-9/4x+1/4
Explanation:
Given the points: (x1,y1)= (1,-2) ;(x2,y2)=(-3,7)
Substitute into the given formula:
[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{7-(-2)}{-3-1}=\frac{9}{-4} \\ m=-\frac{9}{4} \end{gathered}[/tex]Using m=-9/4 and (x1,y1)= (1,-2):
[tex]\begin{gathered} y=mx+b \\ -2=-\frac{9}{4}(1)+b \\ b=-2+\frac{9}{4}=\frac{1}{4} \end{gathered}[/tex]Therefore, the equation of the line is:
[tex]y=-\frac{9}{4}x+\frac{1}{4}[/tex]The correct option is C.
