Question

This graph shows the solution to which inequality?

(3,-1)
(-3,-3)
O A. yz 1 / 8x - 2
O B. ysx-2
O c. y> 1/3x-2

Answer 1

`y > (1)/(3)x - 2`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope, and b is the y-intercept(value of y when x = 0).

In this question:

We have that when
`x = 0, y = -2`. So the line is given by:

`y = mx - 2`

Finding the slope:

We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So

Change in y: -1 - (-3) = -1 + 3 = 2

Change in x: 3 - (-3) = 3 + 3 = 6

Slope:
`m = (2)/(6) = (1)/(3)`

Solution to the inequality:

The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So

`y > (1)/(3)x - 2`