Write the equation of the line in slope-intercept form.

(Points:)
(3 , 0)
(0, -2)

1 answer

To find the slope, we can use the formula:

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

Using the points (3,0) and (0,-2):

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

Now that we have the slope (m = 2/3), we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (3,0):

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

Therefore, the equation of the line in slope-intercept form is y = (2/3)x - 2.