Could someone please explain to me how to do this? I'm so confused.

Step-by-step explanation:

First the slope. The slope is the number before the x. First, is the slope positive or negative? To find this determine if the slope is negative or positive. If it’s positive, the line goes up. If it’s negative, the line goes down.

This slope is negative, so we know the line will go down.

Now the slope is 1/2

Slopes are rise/over or y/x

To find where to put the line, look at the y-intercept

The y intercept is the number that comes after the x in the equation. The y intercept in this problem is -3.

Y intercepts are where the line crosses the y-axis so find -3 on the y axis.

Now from there. Use the slope to make points.

First go down one and then go right two.

Now mark a point there and continue to do this with each point.

You go one down because the y value in -1/2 is 1 and you go right two because the x value is 2.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

∈3,600

step-by-step explanation: