Question

Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y = - 12 OB. y = ROD + 12 Oc. 31 12 9. 2. 1 y = –12:r​

Answer 1

The equation of the line is:

• 
  `y\:=\:(3)/(2)x\:-12`

Explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

Given

• y-intercept b = -12

• slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

`y = mx+b`

`y\:=\:(3)/(2)x\:+\:\left(-12\right)`

`y\:=\:(3)/(2)x\:-12`

Therefore, the equation of the line is:

• 
  `y\:=\:(3)/(2)x\:-12`