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

Answer:

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

Step-by-step 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:

$m=\frac{y_1 -y_0}{x_1 -x_0}=\frac{2-(-2)}{2-1}=\frac{4}{1}=4$

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

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