Question

A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?

Answer 1

Answer:

y = (3/2)x - 12

Step-by-step explanation:

Recall that the general equation for a linear function may be written in slope-intercept form:

y = mx + b

where m = slope and b = y-intercept

In this case, it is given that slope = m = 3/2 and y-intercept = b = -12

substituting these values into the general equation:

y = (3/2)x + (-12)

or

y = (3/2)x - 12

Answer 2

The equation of the line is 2y = 3x - 24.

What is the equation of a straight line?

The equation of a straight line is a relation between an independent variable(y) and a dependent variable(x), in the form y = mx + c, where m is the slope and c is the y-intercept.

How do we determine the equation of the line?

We have been given that y-intercept(c) = -12, and the slope(m) = 3/2.

Substituting these values in the standard equation, y = mx + c, we get:

y = (3/2)x + (-12)

⇒ 2y = 3x - 24

∴ The equation of the line is 2y = 3x - 24.

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