Question

Help please I would appreciate it !

Answer 1

Answer/Step-by-step explanation:

Given:

Line equation =>
`2.1x + 9.9y - 9.2 = 0`

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

`2.1x + 9.9(0) - 9.2 = 0`

`2.1x + 0 - 9.2 = 0`

`2.1x - 9.2 = 0`

`2.1x - 9.2 + 9.2 = 0 + 9.2`

`2.1x = 9.2`

`(2.1x)/(2.1) = (9.2)/(2.1)`

`x = 4.4` (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

`2.1(0) + 9.9y - 9.2 = 0`

`9.9y - 9.2 = 0`

`9.9y - 9.2 + 9.2 = 0 + 9.2`

`9.9y = 9.2`

`y = (9.2)/(9.9)`

`y = 0.9` (approximated)