Question

2. (06.02) (Plssss help this is a test)

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions
that are needed to determine if these lines intersect. (10 points)

Answer 1

Explanation:

linear functions (or lines) have really only 2 attributes :

the slope (indicating the inclination of the line).

the y-intercept (the intersection with the y-axis) or the x-intercept. either way, they show the actual position of the line.

the lines intersect at one point, if they have different slopes.

they intersect at infinitely many points, if the slope and the y- or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point).

if they have the same slope but different y- or x-intercepts, it means they are parallel and will never intersect.