Question

Write an equation in point-slope form for each line (If possible please show work)

Answer 1

Hey there! :)

Answer:

x = 1/2(y -3)

Step-by-step explanation:

Begin by finding the slope using the slope formula:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in the coordinates:

$m = \frac{4-3}{2-0}$

Simplify:

$m = \frac{1}{2}$

Recall that point-slope form is:

$(x-x_{1}) = m(y-y_{1})$

Plug in the slope and coordinates into the equation:

(x - 0) = 1/2(y - 3)

x = 1/2(y -3)