Question

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

y + 3 = 2 (x + 3)
y = 2(x + 3)
y + 3 = 2x
y – 3 = 2 (x – 3)

Answer 1

Answer: y + 3 = 2 (x + 3)

To frame equation , we need to find slope

To find slope , we pick two points from the graph

(0,3) and (-3,-3)

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

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

Slope = 2

The formula for point - slope form is

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

Where m is the slope = 2 and point (x1,y1) is (-3,-3)

Plug in the values in the formula

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

Equation becomes
`y + 3= 2 (x +3)`