Answer:
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!
