Alinear 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.

The lines will intersect if they have either of ...

Step-by-step explanation:

Two lines with different slopes will always intersect.

Two lines with the same slope will either be parallel (non-intersecting) or will be coincident (intersect at every point). If they intersect at one point, such as the y-intercept, then they will be coincident (intersect everywhere).

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In this scenario, you can only compare numerical values of the functions. A number of hours has different units than a number of animals, so they are never the same measure. (They may be numerically the same, for example, 3 animals and 3 hours, but an hour is not an animal, so they are not actually the same.) You can't plot animals on a graph of hours, and vice versa, so the lines can never intersect if you pay attention to proper units of measure.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10