Question

Write the equation in point-slope form. (4,-2) ; m=1/2

Answer 1

$\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)$

Answer 2

(4,-2) are points $(x_1, y_1)$ respectively and $\frac{1}{2}$ is the slope

Point-slope:

$y-y_1 = m(x-x_1)$      

Now you have to replace the variables with numbers

$y+2 = \frac{1}{2}(x-4)$

Thus your equation would be:

$y+2 = \frac{1}{2}(x-4)$

Hope this helped!