he 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

2

Step-by-step explanation:

The equation of a line is given as

y = mx + c where m is the slope, c is the intercept, y is the dependent variable while x is the independent variable.

As such, given that the intercept is 12, the independent variable is 3 and the value of the dependent variable would be 18

substituting into the equation of a line

18 = m(3) + 12

subtract 12 from both sides

18 - 12 = 3m

6 = 3m

Divide both sides by 3

6/3 = 3m/3

2 = m

m = 2

The slope is 2

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b