Question

Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answer 1

y = x + 5

y = 1/4x + 1

-Best Regards

Answer 2

• y = x + 5
• y = 1/4x + 1

Explanation:

Given line

• y = 1/4x + 5

(a)

A steeper line has a greater slope

So the line

• y = x + 5

Is 4 times steeper than the given line

(b)

Vertical shift down of a function y is the function (y - 4)

So the required line is:

• y = 1/4x + 5 - 4

• y = 1/4x + 1