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:

we know that

The equation of the line into point-slope form is equal to

`y-y1=m(x-x1)`

Let

`A(1,-2), B(2,2)`

Find the slope of the line AB

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(2+2)/(2-1)`

`m=(4)/(1)`

`m=4`

With the point A and the slope m find the equation of the line

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

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