The graph of a line passes through the points (0,-2) and (6,0). What is the equation of the line?

Solution:

Given that the graph of the line passes through (0, -2) and (6, 0) which are the y and x-intercepts of the line.

We have the equation of a line in the intercept form, having x and y-intercepts as ‘a’ and ‘b’ respectively is x/a + y/b = 1

Here a = 6 and b = -2

The equation is given by,

x/6 + y/(-2) = 1

Multiplying the above equation by 12, we get,

2x - 6y = 12

The graph of a line passes through the points (0,-2) and (6,0). What is the equation of the line?

Summary:

The equation of the line passing through the points (0,-2) and (6,0) is given by 2x - 6y = 12.