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

Answer:

The equation of the line is:

• $y\:=\:\frac{3}{2}x\:-12$

Step-by-step 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

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

• $y\:=\:\frac{3}{2}x\:-12$