Question

Write an equation of a line of slope intercept form represented line below

Answer 1

To write in slope-intercept form,

we use the formula

`\begin{gathered} (y_-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \\ \\ \end{gathered}`
`\begin{gathered} (x_1,y_1)=(-12,22) \\ \\ (x_2,y_2)=(-3,7) \end{gathered}`
`\begin{gathered} \Rightarrow(y-22)/(x+12)=(7-22)/(-3+12) \\ \\ \Rightarrow(y-22)/(x+12)=-(15)/(9) \\ \\ \Rightarrow(y-22)/(x+12)=-(5)/(3) \\ \\ \Rightarrow y-22=-(5)/(3)(x+12) \\ \\ \Rightarrow y-22=-(5)/(3)x-20 \\ \\ \Rightarrow y=-(5)/(3)x-20+22 \\ \\ \Rightarrow y=-(5)/(3)x+2 \end{gathered}`

Correct option C