First we need to find the slope of the function
The slope of a function is equal to
[tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
So now we plug this into the equation and find the slope (M will represent the slope)
[tex]m=\frac{10--2}{-9--1}\\m=\frac{12}{-8}\\m=-\frac{3}{2}[/tex]
So the slope is -3/2
Now we can use point-slope form.
Point slope form is represented by
[tex]Y-Y_1=m(X-X_1)[/tex]
So when we plug in our values we get
[tex]Y--2=-3/2(X--1)\\Y+2 = -3/2(X+1)\\Y+2 = -3/2X-3/2\\Y=-3/2X-7/2[/tex]
So the equation is
Y = -3/2X-7/2
