# SAT Math: Recognizing the Graph of a Linear Equation

If c is a constant integer and c > 0, which of the following could be the graph of 3y – 2x = c(5x + 8y) in the xy-plane?

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02:13

y minus two Ax equals c times quantity There We

02:16

kind of simplified things Distribute out the sea There seems

02:19

like the equation just got a little less ugly when

02:21

working with two unknowns like x and y it's always

02:24

a good idea to move all like terms to the

02:26

same side of the equation And that gets us three

02:28

Why minus eight c y which equals five c x

02:31

plus two x for all the white terms Air on

02:34

the left and all the ex terms are on the

02:35

right kind of like congress When the variables air separated

02:38

like this something cool happens It just takes a bit

02:40

of factoring we've got why equals the twenty three months

02:44

eight c and accident times quantity There five c plus

02:47

too Now that five c plus two is being multiplied

02:50

by x so that must be the slope But wait

02:53

why needs to be isolated So you get why looking

02:56

like this it's that five peoples to over three months

02:59

Eight c all times x Well slope is negative in 00:03:02.523 --> [endTime] this equation as why intercept of zero