Question

Determine the coordinate of the point where
y=3x+6 crosses the x-axis.

Answer 1

Given ↓

• The equation y=3x+6

To Find ↓

• The point where the equation → y=3x+6 ← crosses the x-axis.

Calculations ↓

• Let y be 0

Instead of y write 0:

0=3x+6

• Now all we have to do is solve for x :

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

Coordinates of the point ↓

(-2, 0)

Answer 2

(- 2, 0 )

Explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )