Question

What is the equation of the graphed line in point slope form?

Answer 1

y + 3 = 2(x + 3)

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x+x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

From the graph we have the points (-3, -3) and (0, 3).

Calculate the slope:

`m=(3-(-3))/(0-(-3))=(6)/(3)=2`

Put the value of the slope and the coordinates of the point (-3, -3) to the equation of a line:

`y-(-3)=2(x-(-3))\\\\y+3=2(x+3)`

`y=2x+3`