Question

Find the \(x\) -intercept of the graph of the equation. $$ y=2 x+20 $$

Short answer

The x-intercept of the given graph is \(x=-10\).

Step-by-step solution

Set y equal to zero

The x-intercept is where the graph touches the x-axis, which is when 'y' is equal to zero. So set \(y=0\) in the equation.

Solving for x

The equation now becomes \(0=2x+20\). Now, we need to solve this equation for 'x'. Subtract 20 from both sides of the equation to isolate the term with 'x', giving \(-20=2x\).

Isolate x

In order to isolate 'x', divide by 2 across the equation. This gives \(x=-20/2\).

Simplify the Expression

Simplify the expression, so it results in \(x=-10\). This implies that the graph crosses the x-axis at the point where x=-10.