The first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remain the same. The last week of January, there are 20 cats in the shelter. How many dogs are they?

35 dogs

Step-by-step explanation:

x ---> the number of dogs

y ---> the number of cats

The last week of January we have 20 cats and the ratio is the same

so

\frac{x}{y}=\frac{49}{28} > equation A

y=20 ---> equation B

substitute equation B in equation A

\frac{x}{20}=\frac{49}{28}

solve for x

x=\frac{49}{28}(20)=35 dogs

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step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)