Answer:
[tex]y-(-2) = 4(x-1)[/tex]
Step-by-step explanation:
Point-slope form of the equation of a straight line is:
[tex]y-y_0 = m(x-x_0)[/tex] (1)
The two points given in the problem are:
[tex](x_0,y_0)=(1,-2)\\(x_1,y_1)=(2,2)[/tex]
So, the slope of the line is given by:
[tex]m=\frac{y_1 -y_0}{x_1 -x_0}=\frac{2-(-2)}{2-1}=\frac{4}{1}=4[/tex]
And substituting into eq.(1), we find:
[tex]y-(-2) = 4(x-1)[/tex]
