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

1 Answer

1 vote

Answer: -3

Step-by-step 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


(-6)/(2)=(2x)/(2)

which is equal to


-3=x

The x- intercept is at x = -3

User Foxcub
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