intercepts of f(x)=2x-18 — step-by-step solution

On the horizontal axis, y = 0: solve

2 x - 18 = 0

⇥Let's solve in

ℝ

2 x - 18 = 0

⇥ⓘ We add

18

to both sides

⇥

2 x = 18

⇥ⓘ Both sides are divided by

2

⇥

x = \frac{18}{2}

⇥ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{18}{2}

9

⇥Solution obtained:

x = 9

On the vertical axis, x = 0: calculate f(0)

⇥

2 \cdot 0 - 18

⇥ⓘ A product with a zero factor is zero:

2 \cdot 0

0

⇥

0 - 18

⇥ⓘ Adding 0 changes nothing:

0 - 18

-18

⇥

-18

▶Axis intercepts:

{(9, 0), (0, -18)}