Question

Where does the graph of `y=-0.5x-2` cross the x-axis?

Answer 1

See a solution process below:

Explanation:

To graph this equation first, solve for two points which solve the equation and plot these points:

First Point:

For `x = 0`

`y = 0 - 2`

`y = -2` or `(0, -2)`

Second Point:

For `x = 2`

`y = -1 - 2`

`y = -3` or `(2, -3)`

We can next graph the two points on the coordinate plane:

graph{(x^2+(y+2)^2-0.0125)((x-2)^2+(y+3)^2-0.0125)=0 [-6, 6, -4, 2]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y+0.5x + 2)(x^2+(y+2)^2-0.0125)((x-2)^2+(y+3)^2-0.0125)=0 [-6, 6, -4, 2]}

From the graph we can see the line crosses the `x`-axis at `-4` or `(-4, 0)`