How do you graph the equation $3 x + 8 y = 32$ $3x+8y=32$ ?

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Answer 1 · 2017-09-28T17:38:20

See a solution process below:

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

First Point: For $x = 0$ $x = 0$

$(3 \cdot 0) + 8 y = 32$ $(3 * 0) + 8y = 32$

$0 + 8 y = 32$ $0 + 8y = 32$

$8 y = 32$ $8y = 32$

$\frac{8 y}{8} = \frac{32}{8}$ $(8y)/color(red)(8) = 32/color(red)(8)$

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

Second Point: For $x = 8$ $x = 8$

$(3 \cdot 8) + 8 y = 32$ $(3 * 8) + 8y = 32$

$24 + 8 y = 32$ $24 + 8y = 32$

$- 24 + 24 + 8 y = - 24 + 32$ $-color(red)(24) + 24 + 8y = -color(red)(24) + 32$

$0 + 8 y = 8$ $0 + 8y = 8$

$8 y = 8$ $8y = 8$

$\frac{8 y}{8} = \frac{8}{8}$ $(8y)/color(red)(8) = 8/color(red)(8)$

$y = 1$ $y = 1$ or $(8, 1)$ $(8, 1)$

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

graph{(x^2+(y-4)^2-0.1)((x-8)^2+(y-1)^2-0.1)=0 [-20, 20, -10, 10]}

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

graph{(3x+8y-32)(x^2+(y-4)^2-0.1)((x-8)^2+(y-1)^2-0.1)=0 [-20, 20, -10, 10]}

How do you graph the equation 3x+8y=323x+8y=32?