If you knew that the intercept for a straight line was 12, and that if the value of the independent variable was 3 the value of the dependent variable would be 18, then the slope of the line would be:
A) 1
B) 2
C) 3
D) 4

Question

Quizplus · Accepted Answer

We can use the formula for the equation of a straight line, y = mx + b, where m is the slope and b is the intercept.

Given that the intercept is 12, we have b = 12.

Also, we know that if the independent variable (x) is 3, the dependent variable (y) is 18. So we have the point (3, 18) on the line.

Substituting these values into the equation, we get:

18 = 3m + 12

Solving for m, we get:

m = 2

Therefore, the slope of the line is 2, which corresponds to Choice B.

If You Knew That the Intercept for a Straight Line