Determine the x- and y-intercepts of the graph of x+2y=−4 . Then plot the intercepts to graph the equation.

To determine the y-intercept, convert the equation into slope-intercept form.

x + 2y = -4

Subtract x from both sides

2y = -x-4

divide by 2 on both sides

y = -1/2(x) - 2 (this is the formula, with a slope of -1/2 and y-intercept of -2

This gives you a y-intercept of -2, which can be plotted at (0, -2)

For the x-intercept, plug in 0 for y into the formula.

x + 2y = -4

x + 2(0) = -4

x + 0 = -4

x=-4

This gives you an x-intercept of -4, which can be plotted at (-4, 0). Put those two numbers on the line and graph it, remembering that your slope is -1/2

Hope this helps!

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