Question

PLEASE HELP Determine the x and y intercepts for each indicated line.

1. 2x-4y=8
2. 4x+y= -5
3. 14--7y=-14
4. 2x+6y=10

Answer 1

x = -2/3

y = -7/3

Explanation:

2x-4y=8

4x+y= -5

Times the first equation by -2

-4x + 8y = -16

4x + y = -5

9y = -21

y = -7/3

Now put -7/3 back in for y and solve for x

4x - 7/3 = -5

4x - 7/3 = -15/3

4x = 8/3

x = -2/3

Answer 2

1. x: 4, y: -2
2. x: -5/4, y: -5
3. x: -1, y: 2
4. x: 5, y: 5/3

Explanation:

You want the x- and y-intercepts of each of the given lines:

1. 2x-4y=8
2. 4x+y= -5
3. 14x-7y=-14
4. 2x+6y=10

Intercepts

The x-intercept is the x-value when y = 0. For an equation of the form ...

ax +by = c

setting y = 0, we have ...

ax = c

Solving for x gives ...

x = c/a . . . . . x-intercept

Similarly, setting x=0 and solving for y gives the y-intercept:

by = c

y = c/b

1. 2x -4y = 8

X-intercept: 8/2 = 4

Y-intercept: 8/-4 = -2

2. 4x +y = -5

X-intercept: -5/4

Y-intercept: -5/1 = -5

3. 14x -7y = -14

X-intercept: -14/14 = -1

Y-intercept: -14/-7 = 2

4. 2x +6y = 10

X-intercept: 10/2 = 5

Y-intercept: 10/6 = 5/3