Question

A straight line has an x intercept -2 and passes through the point (-4,6) Find its equation

Answer 1

The x-intercept is the point where the line crosses the x-axis. That point has a y-coordinate of 0. The coordinates of the x-intercept are (-2, 0). You are also given point (-4, 6), so you have two points on the line.

You can use the two-point form of the equation of a line to find its equation.
The two points are
`(x_1, y_1)` and
`(x_2, y_2)`


`y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)`


`y - 0 = (6 - 0)/(-4 - (-2))(x - (-2))`


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


`y = -3(x + 2)`


`y = -3x - 6`