Can anyone answer
i dont understand this.

y < -2x +4

Step-by-step explanation:

First of all, you need to determine the equation of the dashed line. It goes down 2 units for each 1 unit to the right, so has a slope of -2/1 = -2.

The y-intercept is clearly shown by the point (0, 4) as being 4.

The slope-intercept form of the equation of a line is ...

... y = mx +b . . . . . where m is the slope (-2) and b is the y-intercept (4)

Your line's equation is ...

... y = -2x +4

You're not done, yet.

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Because the graph is shaded on one side of this line, the graph is of an inequality, not a line. (The line is just the boundary of the solution region.) This graph is shaded below the line, so y-values that are less than those on the line are part of the solution.

Because the line is dashed, the inequality symbol used is one that indicates the line itself is not part of the solution.

So, the desired inequality is ...

... y < -2x +4 . . . . . . . . . . "less than" because shading is below; not "≤" because the line is dashed.

(-5,-28)

i graphed to on desmos.