intercepts of f(x)=0.55*x-2.8e^5

On the horizontal axis, y = 0: solve

0.55 x - 2.8 e^{5} = 0

⇥Let's solve in

ℝ

0.55 x - 2.8 e^{5} = 0

⇥ⓘ We add

2.8 e^{5}

to both sides

⇥

0.55 x = 2.8 e^{5}

⇥ⓘ Both sides are divided by

0.55

⇥

x = \frac{2.8 e^{5}}{0.55}

⇥ⓘ A fraction is simplified by dividing the numerator and the denominator by the same number:

\frac{2.8 e^{5}}{0.55}

\frac{56 e^{5}}{11}

⇥Solution found:

x = \frac{56 e^{5}}{11}

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

⇥

0.55 \cdot 0 - 2.8 e^{5}

⇥ⓘ A product with a zero factor is zero:

0.55 \cdot 0

0

⇥

0 - 2.8 e^{5}

⇥ⓘ Adding 0 changes nothing:

0 - 2.8 e^{5}

- 2.8 e^{5}

⇥

- 2.8 e^{5}

▶Axis intercepts:

{(\frac{56 e^{5}}{11}, 0), (0, - 2.8 e^{5})}