Given: the intercept for a straight line is 12. If the value of the independent variable is 3, then the value of the dependent variable would be 18. The slope of this line is
A) 1.
B) 2.
C) 3.
D) 4.

Question

Quizplus · Accepted Answer

We can use the slope-intercept form of a straight line to determine the value of the slope:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope, and b is the intercept.

We know that the intercept is 12, so we can write the equation of the line as:

y = mx + 12

We also know that when x = 3, y = 18. Substituting these values into the equation, we get:

18 = 3m + 12

Simplifying this equation, we get:

6 = 3m

Dividing both sides by 3, we get:

2 = m

Therefore, the slope of the line is 2.

The correct answer is B.

Given: the Intercept for a Straight Line Is 12