235k views
22 votes
What inequality is shown in the graph?​

What inequality is shown in the graph?​-example-1
User Luaan
by
3.8k points

1 Answer

13 votes

Explanation:

the line goes through e.g. (0, -3) and (-2, 1).

the slope of the line is the defined by

x changes by +2 (from -2 to 0).

y changes by -4 (from 1 to -3).

so, the slope is -4/+2 = -2.

and the y-intercept (the y value when x = 0) is -3.

the line equation is then

y = -2x - 3

and we see in the graphic that all values smaller than the line values are covered (and the line is dotted, so it is not included).

so, the inequality is

y < -2x - 3

User James Allardice
by
3.8k points