Question

Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3 x + -27.33 13 B. y = - 3 x + 33.33 13 C. y = 13 x + -6 3 D. y = - 13 x + 20 3

Answer 1

The equation in the slope-intercept form is y =
`(13)/(3)x` + -6 ⇒ C

Explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

• m is the slope of the line

• b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵
`(-3y)/(-3)=(18)/(-3)-(13x)/(-3)`

∴ y = -6 - (
`-(13)/(3)x`)

→ Remember (-)(-) = (+)

∴ y = -6 +
`(13)/(3)x`

→ Switch the two terms of the right side

∴ y =
`(13)/(3)x` + - 6

∴ The equation in the slope-intercept form is y =
`(13)/(3)x` + -6