Question

Complete the equation of the graphed linear function in point-slope form. y – (–2) = (x – ) The graph of the function goes through point 1, negative 2 and point 2, 2.

Answer 1

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

Explanation:

Point-slope form of the equation of a straight line is:

`y-y_0 = m(x-x_0)` (1)

The two points given in the problem are:

`(x_0,y_0)=(1,-2)\\(x_1,y_1)=(2,2)`

So, the slope of the line is given by:

`m=(y_1 -y_0)/(x_1 -x_0)=(2-(-2))/(2-1)=(4)/(1)=4`

And substituting into eq.(1), we find:

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