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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​

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Answer:

The equation of the line is:

  • [tex]y\:=\:\frac{3}{2}x\:-12[/tex]

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

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{3}{2}x\:+\:\left(-12\right)[/tex]

[tex]y\:=\:\frac{3}{2}x\:-12[/tex]

Therefore, the equation of the line is:

  • [tex]y\:=\:\frac{3}{2}x\:-12[/tex]

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