Respuesta :

Explanation

We are asked to find the equation of the line in point-slope form

We will make use if the equation

[tex]y-y_1=m(x-x_1)[/tex]

From the graph, we have the points:

[tex](0,-1)\text{ and\lparen1,5\rparen}[/tex]

Our first step will be to get the slope

[tex]slope=\frac{5-(-1)}{1-0}=\frac{6}{1}=6[/tex]

Also

[tex]\begin{gathered} x_1=0 \\ y_1-1 \end{gathered}[/tex]

Thus, we will have the point-slope form as

[tex]\begin{gathered} y-(-1)=6(x-0) \\ \end{gathered}[/tex]

Ver imagen JacyK723588
Ver imagen JacyK723588