# How do you graph 3x-y=7?

Jul 22, 2017

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

#### Explanation:

Given -

$3 x - y = 7$

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

x-intercept
At $y = 0$

$3 x - 0 = 7$
$x = \frac{7}{3} = 3.3$
$\left(3.3 , 0\right)$

y-intercept
At $x = 0$

$3 \left(0\right) - y = 7$
$y = - 7$
$\left(0 , - 7\right)$

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

Jul 22, 2017

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

This means that the line has a gradient (slope) of $3$, and a y-intercept of $- 7$.

Graph the function by drawing a line through the point $\left(0 , - 7\right)$ with a gradient of $3$.

#### Explanation:

$3 x - y = 7$

Subtract $3 x$ from both sides:

$- y = - 3 x + 7$

Multiply both sides by $- 1$:

$y = 3 x - 7$

This means that the line has a gradient (slope) of $3$, and a y-intercept of $- 7$.