Answer:
Equation of line is y = x+5
Step-by-step explanation:
The line is passing through the points (-4,1) And (-2,3).
Slope of the line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{3-1}{-2+4}\\\\m=\frac{2}{2}\\\\m=1[/tex]
Point slope form of a line is given by
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the known values
[tex]y-1=1(x-(-4))[/tex]
On simplifying, we get
[tex]y-1=x+4\\\\y=x+5[/tex]
Equation of line is y = x+5
