Given two points on a line, we can find its equation by using the formula below
[tex]\begin{gathered} (x_1,y_1),(x_2,y_2) \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \end{gathered}[/tex]
Therefore, in our case, since the line goes through (-1,2) and (0,5),
[tex]\begin{gathered} y-2=\frac{5-2}{0-(-1)}(x-(-1)) \\ \Rightarrow y-2=3(x+1) \end{gathered}[/tex]
Thus the answers are
Equation: y-2=3(x+1)
Slope: 3
Point: (-1,2)quation: y=3x+5
