Question

Find the \(x\) -intercept and the \(y\) -intercept of the graph of the equation. $$y=-2 x+16$$

Short answer

The x-intercept of the graph is \(x=8\) and the y-intercept of the graph is \(y=16\).

Step-by-step solution

Find the x-intercept

Set \(y = 0\) in the equation and solve for \(x\). This gives the equation \(0=-2x+16\). If you solve it, this leads to \(x=8\). Therefore, the x-intercept is \(x = 8\).

Find the y-intercept

Set \(x = 0\) in the equation and solve for \(y\). This gives the equation \(y=-2*0+16\). The answer is \(y = 16\). Therefore, the y-intercept is \(y = 16\).