Question

Find the x - and y-intercepts of the line 14x+16y=-16.

Answer 1

x - intercept = -
`(8)/(7)` , y- intercept = - 1

Step-by-step explanation:

to find the x- intercept , let y = 0 in the equation and solve for x

14x + 16(0) = - 16

14x + 0 = - 16

14x = - 16 ( divide both sides by 14 )

x =
`(-16)/(14)` = -
`(8)/(7)` ← x- intercept

to find the y- intercept , let x = 0 in the equation and solve for y

14(0) + 16y = - 16

0 + 16y = - 16

16y = - 16 ( divide both sides by 16 )

y = - 1 ← y- intercept

Answer 2

To find the x- and y-intercepts of the line 14x + 16y = -16, we can set y = 0 and solve for x to find the x-intercept, which is (-8/7, 0). We can also set x = 0 and solve for y to find the y-intercept, which is (0, -1).

Step-by-step explanation:

To find the x- and y-intercepts of the line 14x + 16y = -16, we can use the standard forms of the line equation.

To find the x-intercept, we set y = 0 and solve for x. We have: 14x + 16(0) = -16 → 14x = -16 → x = -16/14 = -8/7.

Therefore, the x-intercept is (-8/7, 0).

To find the y-intercept, we set x = 0 and solve for y. We have: 14(0) + 16y = -16 → 16y = -16 → y = -16/16 = -1.

Therefore, the y-intercept is (0, -1).