Answer:
y = x + 7
Explanations:
The equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex][tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{9-3}{2-(-4)} \\ m\text{ = }\frac{6}{6} \\ m\text{ = 1} \end{gathered}[/tex]
Substitute x₁ = -4, y₁ = 3, and m = 1 into the equation above:
[tex]\begin{gathered} y\text{ }-\text{ 3 = 1(x - (-4))} \\ y\text{ - 3 = x + 4} \\ y\text{ = x + 4 + 3} \\ y\text{ = x + 7} \end{gathered}[/tex]
