Problem 4 - Algebra 1: Concepts and Skills

Question

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

Step-by-Step Solution

Answer

The x-intercept of the function \(y = 2x + 20\) is -10.

Step 1: Substitute y into the equation

The first step to find the x-intercept is to substitute \(y = 0\) into the given equation. So we get: \[0 = 2x + 20\]

Step 2: Solve the equation for x

Now, let's solve this equation for \(x\), which gives us: \[-20 = 2x\]. Dividing both sides by 2 gives us: \[x = -10\]. So, the x-intercept is -10.