Answer: -3
Step-by-step explanation:
The general form of a linear equation is:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
where m is the slope and b is the y-intercept.
In this equation
![y=2x+6](https://img.qammunity.org/2023/formulas/mathematics/college/fciroxvdfd9n106vpmuha6tnhesayxo008.png)
we need to find the x-intercept.
The x-intercept is the point where the line crosses the x axis. And to cross the x axis the line needs to be at y = 0.
Step 1: Substitute y=0 in the equation
![0=2x+6](https://img.qammunity.org/2023/formulas/mathematics/college/8f3p1oa1xffetlrxucx4em6a1z02irivzm.png)
Step 2: solve for x (move the +6 on the right as a -6 on the left)
![-6=2x](https://img.qammunity.org/2023/formulas/mathematics/college/bxwy9trmiuy17ml0rt1mtmgjrrqk22k2e9.png)
step 3: divide everything by 2
![(-6)/(2)=(2x)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/2uxof2qczz35ydxtf95f8nx1h3lj3b4wtj.png)
which is equal to
![-3=x](https://img.qammunity.org/2023/formulas/mathematics/high-school/7vq4fx9kn88ims1ayio7h4oxbq8t6fpvfn.png)
The x- intercept is at x = -3