(3, 0)

(0, -2)
Write the equation of the line in slope-intercept form.

1 answer

To find the equation of the line passing through the two points (3, 0) and (0, -2), first calculate the slope:

slope = (y2 - y1) / (x2 - x1)
slope = (-2 - 0) / (0 - 3)
slope = -2 / -3
slope = 2/3

Now that we have the slope, we can use one of the points (3, 0) to find the y-intercept:

y = mx + b
0 = (2/3)(3) + b
0 = 2 + b
b = -2

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