Question

Find the x-intercept and y-intercept of the line 2x+4y=-4

Answer 1

x=−2

Explanation:

like so:

2x+4y=−4

...subract 2x from both sides:

4y=−2x−4

...divide both sides by 4:

y=(−x2)−1

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

y=0−1=−1

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

0=(−x2)−1

x2=−1

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]}

Answer 2

To find the x-intercept, we plug a 0 in for y.

So we have 2x + 4(0) = -4 or 2x = -4 which simplifies to x = -2.

To find the y-intercept, we plug a 0 in for x.

So we have 2(0) + 4y = -4 or 4y = -4 which simplifies to y = -1.

So this line crosses x-axis at (-2,0) and the y-axis at (0,-1).