Question

3. 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

A) just change the numerator to anything more than 1
B) y=1/4+1

Answer 2

a. y = 3x + 5

b. y = 1/4x + 1

Explanation:

Slope is rise over run.

Part A:

The rise is 3 and the run is 1. The larger the rise and the smaller the run, the steeper the line is.

Part B:

The y-intercept of the original is at 5, so if you want to move it 4 units down, subtract 4 from 5.

5 - 4

1

Your new y-intercept is 1.

Hope this helps!