Question

8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis

Answer 1

Given:

The equation is

$8x-5y=-11$

To find:

The x-intercept and y-intercept of the given equation.

Solution:

We have,

$8x-5y=-11$

For x-intercept, y=0.

$8x-5(0)=-11$

$8x=-11$

$x=-\dfrac{11}{8}$

$x=-1.375$

So, the x-intercept is at point (-1.375,0).

For y-intercept, x=0.

$8(0)-5y=-11$

$-5y=-11$

$y=\dfrac{-11}{-5}$

$y=2.2$

So, the y-intercept is at point (0,2.2).