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GRAPHS, FUR1 2002 VCAA 1 MC

2002VCAA-Graphs-1

The equation of this straight line is

A.             `x = 7`

B.              `y = 5`

C.   `7x + 5y = 35`

D.   `5x + 7y = 35`

E.   `7x - 5y = 35`

 

Show Answers Only

`D`

Show Worked Solution

`text(Using two point form)`

`text{Sub (0, 5) and (7, 0) into }`

`(y − y_1)/(x − x_1)` `= (y_2 − y_1)/(x_2 − x_1)`
`(y − (5))/(x − (0))` `= (0 − (5))/(7 − (0))`
`(y − 5)/x` `= text(−5)/7`
`7y − 35`  `= text(−5)x`
`5x + 7y` `= 35`

`=>  D`