intercepts of f(x)=-3x+4
On the horizontal axis, y = 0: solve -3x + 4 = 0
⇥Let's solve in ℝ: -3x + 4 = 0
⇥ⓘ We add 3x to both sides
⇥ 4 = 3x
⇥ⓘ Both sides are divided by 3
⇥Solution obtained: x = 43
On the vertical axis, x = 0: calculate f(0)
⇥ -3·0 + 4
⇥ⓘ A product with a zero factor is zero: -3·0 = 0
⇥ 0 + 4
⇥ⓘ Adding 0 changes nothing: 0 + 4 = 4
⇥ 4
▶Axis intercepts:   { (43, 0), (0, 4) }