intercepts of y=2x+3 — step-by-step solution

On the horizontal axis, y = 0: solve

2 x + 3 = 0

⇥Let's solve in

ℝ

2 x + 3 = 0

⇥ⓘ We subtract

3

from both sides

⇥

2 x = -3

⇥ⓘ Both sides are divided by

2

⇥Solution obtained:

x = - \frac{3}{2}

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

⇥

2 \cdot 0 + 3

⇥ⓘ A product with a zero factor is zero:

2 \cdot 0

0

⇥

0 + 3

⇥ⓘ Adding 0 changes nothing:

0 + 3

3

⇥

3

▶Axis intercepts:

{(- \frac{3}{2}, 0), (0, 3)}