Question

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

Answer 1

(4,-2) are points
`(x_1, y_1)` respectively and
`(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 = (1)/(2)(x-4)`

Thus your equation would be:

`y+2 = (1)/(2)(x-4)`

Hope this helped!

Answer 2

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