How do you graph $6 x - 4 y = 16$ $6x-4y=16$ ?

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Answer 1 · 2017-08-31T12:04:09

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point:

For $x = 0$ $x = 0$

$(6 \cdot 0) - 4 y = 16$ $(6 * 0) - 4y = 16$

$0 - 4 y = 16$ $0 - 4y = 16$

$- 4 y = 16$ $-4y = 16$

$\frac{- 4 y}{- 4} = \frac{16}{- 4}$ $(-4y)/color(red)(-4) = 16/color(red)(-4)$

$y = - 4$ $y = -4$ or $(0, - 4)$ $(0, -4)$

Second Point:

For $x = 2$ $x = 2$

$(6 \cdot 2) - 4 y = 16$ $(6 * 2) - 4y = 16$

$12 - 4 y = 16$ $12 - 4y = 16$

$- 12 + 12 - 4 y = - 12 + 16$ $-color(red)(12) + 12 - 4y = -color(red)(12) + 16$

$0 - 4 y = 4$ $0 - 4y = 4$

$- 4 y = 4$ $-4y = 4$

$\frac{- 4 y}{- 4} = \frac{4}{- 4}$ $(-4y)/color(red)(-4) = 4/color(red)(-4)$

$y = - 1$ $y = -1$ or $(2, - 1)$ $(2, -1)$

We can next graph the two points on the coordinate plane:

graph{(x^2+(y+4)^2-0.08)((x-2)^2+(y+1)^2-0.08)=0 [-20, 20, -10, 10]}

Now, we can draw a straight line through the two points to graph the line:

graph{(6x-4y-16)(x^2+(y+4)^2-0.08)((x-2)^2+(y+1)^2-0.08)=0 [-20, 20, -10, 10]}

How do you graph 6x−4y=166x-4y=16?