Respuesta :

DeanR

2x - 7y = 14

x intercept is when y=0

2x = 14

x = 14/2 = 7

Answer: x intercept is 7

y intercept is when x=0

-7y = 14

y = -2

Answer: y intercept is -2

Answer:

X- INTERCEPT = 7

Y- INTERCEPT = -2

Step-by-step explanation:

2x - 7y = 14.

Let's rearrange the equation to our usual form in function of y.

A linear EQUATION has the form:

y = mx + c.

m and c are constant.

Therefore, the equation becomes:

7y = 2x - 14.

Now, to get the intercept, we make both y, and x = 0 and note their value.

X- INTERCEPT (let y = 0, then solve for x.

7y = 2x - 14

7(0) = 2x - 14

2x = 14

Divide through by 7

x = 7

X- INTERCEPT = 7

Y- INTERCEPT (let x = 0, then solve for y.

7y = 2x - 14

7y = 2(0) - 14

7y = -14

Divide through by 7

y = -14/7

y= -2.

Y- INTERCEPT = -2