Question

Find the x-intercept of the following linear equation:y = 2x + 6.

Answer 1

Answer: -3

Explanation:

The general form of a linear equation is:

$y=mx+b$

where m is the slope and b is the y-intercept.

In this equation

$y=2x+6$

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

$0=2x+6$

Step 2: solve for x (move the +6 on the right as a -6 on the left)

$-6=2x$

step 3: divide everything by 2

$\frac{-6}{2}=\frac{2x}{2}$

which is equal to

$-3=x$

The x- intercept is at x = -3