How do you graph $x + 4 y = - 4$ $x + 4y = -4$ by plotting points?

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Answer 1 · 2017-08-21T21:10:35

See a solution process below:

For a linear equation we can plot two points and then draw a line through the points to graph the line.

For $x = 0$ $x = 0$

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

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

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

$y = - 1$ $y = -1$ or $(0, - 1)$ $(0, -1)$

For $y = 0$ $y = 0$

$x + (4 \cdot 0) = - 4$ $x + (4 * 0) = -4$

$x + 0 = - 4$ $x + 0 = -4$

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

We can now plot the two points on the graph:

graph{(x^2+(y+1)^2-0.025)((x+4)^2+y^2-0.025)=0}

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

graph{(x+4y+4)(x^2+(y+1)^2-0.025)((x+4)^2+y^2-0.025)=0}

How do you graph x + 4y = -4x+4y=−4x + 4y = -4 by plotting points?