Respuesta :

Given:

Graph is given:

To Find:

The equation of line.

Explanation:

Let we take any two points that passes through the graph. And substitute 2-point formula on that two points.

Let the two points are

[tex](-1,-4)\text{ and (1,2)}[/tex]

Equation of line is

[tex]\begin{gathered} \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\ \frac{y+4}{2+4}=\frac{x+1}{1+1} \\ \frac{y+4}{6}=\frac{x+1}{2} \\ \frac{y+4}{3}=x+1 \\ y+4=3x+3 \\ y=3x+3-4 \\ y=3x-1 \end{gathered}[/tex]

Final Answer:

Equation of line is

[tex]y=3x-1[/tex]

Ver imagen KoiC613977