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# Linear graphs word problem: cats

Sal finds the y-intercept and the slope of a linear relationship representing someone accumulating cats! He then interprets what the y-intercept and the slope mean in that context. Created by Sal Khan.

## Want to join the conversation?

• I really can't seem to grasp all of these equations, how do i tell whether or not a graph represents a linear function?
• Basically if you have two variables and no exponents, then you are dealing with a linear equations. Exponents would signify that you are dealing with some sort of curve, possibly a parabola in the case of a quadratic. Also if you have just a single variable and still no exponents and are being asked to graph it as a line on a two dimensional grid, then you are dealing with a vertical or horizontal line. For instance x = 1 is a vertical line that crosses x at 1. While y = 2 is a horizontal line that crosses y at 2.
• Hi, I'm looking for a video or an explanation for something like this but a little different, with two independent variables and one dependent variable, for example, a club is selling hats for twelve dollars and sweatshirts for 26 dollars, write a function that represents the total amount the club can earn selling these? I have a vague idea for this but I'm not entirely sure, nor if I can use this method for this problem. Can anyone help, please?
• \$38 because it equals it when adding it up
(1 vote)
• After 10 years how many cats would she have? wow...
• The equation of the line is: y = 2x + 10 where x = time in days and y = cats. 10 years is equal to 10(365) = 3650 days. So if we plug 3650 days in for time we would get y = 2(3650) + 10
which makes y = 7310 cats.
• how can you accumulate 30 cats in the time period of FIFTEEN DAYS. Calm down Jordan. They need to invest in some time to make their questions more reasonable.
• Sal wrote this question like this by purpose to make it more fun.
• In this video, he puts the change in cats over the change in time. Would it work to put the change in time over the change in cats? I've seen a few places where they put the change in time on the bottom, but is that always true or can you swap it around?
• If you did it the other way by putting change in time on the bottom you would get per half a day she would get one cat. Therefore, per day you would get 2 cats. It does seem to work for this question but I'm not entirely sure if it works for every example.
(1 vote)
• this will probably help me with my work on math
• What is the triangle before the variables c & t?
• The Greek letter Delta, which means "change in". It describes the differences between two variables, the distance between two x values for example.