How do you graph 3x-y=73xy=7?

2 Answers
Jul 22, 2017

Plot the points (3.3,0) ; (0,-7)(3.3,0);(0,7)
Join these two points you will get the curve.

Explanation:

Given -

3x-y=73xy=7

Find the two intercepts. Plot them and
join them with a straight line.

x-intercept
At y=0y=0

3x-0=73x0=7
x=7/3=3.3x=73=3.3
(3.3,0)(3.3,0)

y-intercept
At x=0x=0

3(0)-y=73(0)y=7
y=-7y=7
(0,-7)(0,7)

Plot the points (3.3,0) ; (0,-7)(3.3,0);(0,7)
Join these two points you will get the curve.

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Jul 22, 2017

I would rearrange the equation into standard form: y = 3x-7y=3x7

This means that the line has a gradient (slope) of 33, and a y-intercept of -77.

Graph the function by drawing a line through the point (0,-7)(0,7) with a gradient of 33.

Explanation:

3x-y=73xy=7

Subtract 3x3x from both sides:

-y=-3x+7y=3x+7

Multiply both sides by -11:

y = 3x-7y=3x7

This means that the line has a gradient (slope) of 33, and a y-intercept of -77.