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? A. B. C. D.

Answer 1

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

Explanation:

The equation of a linear function can be written in the form y = m x + c, where,

m → slope → 3/2

c → y-intercept → -12

we can substitute these values into the equation.

The slope, m, is 3/2, so the equation becomes:

y = (3/2)x + c

The y-intercept, c, is -12, so we can replace c with -12:

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

Therefore, the equation of the line is y = (3/2)x - 12

Answer 2

y = 3/2x-12

Explanation:

The slope-intercept form of a line is

y = mx+b where m is the slope and b is the y-intercept

The slope is 3/2 and the y-intercept is -12.

y = 3/2x-12