intercepts of y=0.15x+37.4 — step-by-step solution

On the horizontal axis, y = 0: solve

0.15 x + 37.4 = 0

⇥Let's solve in

ℝ

0.15 x + 37.4 = 0

⇥ⓘ We subtract

37.4

from both sides

⇥

0.15 x = -37.4

⇥ⓘ Both sides are divided by

0.15

⇥

x = - \frac{37.4}{0.15}

⇥ⓘ The numerator and the denominator are multiplied by

100

to remove the decimal point, then divided by

5

, their greatest common divisor:

- \frac{37.4}{0.15}

- \frac{37.4 \cdot 100}{0.15 \cdot 100}

- \frac{3740}{15}

- \frac{748 \cdot 5}{3 \cdot 5}

- \frac{748}{3}

⇥Solution obtained:

x = - \frac{748}{3}

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

⇥

0.15 \cdot 0 + 37.4

⇥ⓘ A product with a zero factor is zero:

0.15 \cdot 0

0

⇥

0 + 37.4

⇥ⓘ Adding 0 changes nothing:

0 + 37.4

37.4

⇥

37.4

▶Axis intercepts:

{(- \frac{748}{3}, 0), (0, 37.4)}