Answer to Question #99902 in Algebra for Humna

Question

Louise is collecting can tabs for charity. She already has 35 collected and intends to collect 4 every week. The equation for the number of can tabs y she has collected is y = 4x + 35, where x is the number of weeks. What do the slope and y-intercept represent?

Answer 1

The equation of the line is

y = 4x + 35.

The slope of the above line is the value k = 4.

This tells us that for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 4 units. 

The y-intercept of the line is 35. This tells us that the value of y is 35 when x=0.