Question

If you knew that the vertical intercept for a straight line was 150 and that the slope of the line was 4, then the dependent variable would be 250 when the value of the independent variable is

Answer 1

Value of the independent variable = 25

Explanation:

y-intercept form of a straight line is represented by the equation,

y = mx + b

here y = dependent variable

m = slope

b = y intercept or vertical intercept

x = independent variable

In our question,

y-intercept 'b' = 150

slope of the line 'm' = 4

dependent variable y = 250

We will plug in these values in the equation of the line to get the value of the independent variable.

250 = 4x + 150

250 - 150 = 4x

x =
`(100)/(4)`

x = 25

Therefore, value of the independent variable is 25.