How do you graph $2 x + 4 y = - 4$ $2x+4y=-4$ using intercepts?

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Answer 1 · 2017-08-20T01:59:57

Start by re-writing it as y = some function of x

like so:

$2 x + 4 y = - 4$ $2x + 4y = -4$

...subract 2x from both sides:

$4 y = - 2 x - 4$ $4y = -2x -4$

...divide both sides by 4:

$y = (- \frac{x}{2}) - 1$ $y = (-x/2) - 1$

Now, the y intercept is the value of y where x = 0 -

$y = 0 - 1 = - 1$ $y = 0 - 1 = -1$

For the x intercept, set y = 0 and solve for x:

$0 = (- \frac{x}{2}) - 1$ $0 = (-x/2) -1$

$\frac{x}{2} = - 1$ $x/2 = -1$

$x = - 2$ $x = -2$

so now you have your x & y intercepts. On your graph, plot points (-2, 0) and (0,-1)

And draw your line extending through these points.
graph{y = (-x/2)-1 [-10, 10, -5, 5]}

How do you graph 2x+4y=-42x+4y=−42x+4y=-4 using intercepts?