Question

How do you find the x intercepts of `y = 2x + 5`?

Answer 1

`color(blue)("x-intercept" = -5/2`

Explanation:

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

In the same way, the x-axis is also the line "y = 0".

Given : `y = 2x + 5`

For getting x intercept, make `y = 0` in the given equation.

`2x + 5 = 0`

`2 x = -5` or `color(blue)("x-intercept" = -5/2`

Similarly, `"y- intercept is obtained by making " x = 0`

`y = 0 + 5 = 5`

graph{2x + 5 [-10, 10, -5, 5]}