Determine the x and y intercept of 4x+y= - 16

Question

L

Answer 1

Think of them like opposites. The y-intercept is where x = 0 and the x-intercept is where y = 0:

y-intercept:

4x + y = -16

Let x = 0: 4(0) + y = -16 or y = -16

That makes the y-intercept (0, -16)

x-intercept:

4x + y = -16

Let y = 0: 4x + (0) = -16 or x = -4

That makes the x-intercept (-4, 0)

Answer 2

X and y intercepts are points that intercepts or touches the respective axis. So an x intercept is on the x axis (the line that shows how much you move left/right) and the y intercept is on the y axis (the line that shows how much you move up/down).

Y-intercept: In order for a point to touch the y axis, it can't move left or right at all (x=0). So replace x with 0 in the equation and solve.

4x + y = -16

4(0) + y = -16

0 + y = -16

Y = -16

Your y intercept is -16. If you have to write it as a point/coordinate, (0,-16).

X-intercept: In order for a point to touch the x-axis, it can't move up or down at all (y=0). So replace y with 0 in the equation and solve.

4x + y = -16

4x + (0) = -16

4x = -16 (divide both sides by 4 to get x alone)

X = -4

So your x intercept is -4. If you have to write it as a point/coordinate, (-4,0)