how do you graph y > -2

Question
Linear equations and graphs
asked 2021-02-06
how do you graph y > -2

Answers (1)

2021-02-07
To graph a linear inequality, you must first find its boundary line. The boundary line can be found by replacing the inequality symbol with an equals symbol.
Replacing the inequality symbol in y>−2 with an equals gives y=−2. The boundary line is then a horizontal line passing through −2 on the y-axis.
The boundary line must be graphed as a solid line if the inequality symbol is ≤ or ≥ and graphed as a dashed line is the inequality symbol is > or
Since y>−2 has > as the inequality symbol, you must then graph y=−2 as a dashed line.
You must then determine where to shade. Since y>−2 is stating that yy must be BIGGER than −2, you must then shade above the boundary line. This is because all the points above the boundary line have yy-coordinates that are bigger than −2.
The graph is then:
[Graph]
0

Relevant Questions

asked 2020-11-05
Given linear equation y = 0.5x – 2
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
asked 2020-12-03
A graph of a linear equation passes through ( -2,0) & (0,-6) is the 3x-y=6, both ordered pairs solutions for the equation
asked 2021-01-22
Graph linear and Y intercepts Y=4x-2
asked 2021-02-09
What is the process to solve these:
Vertex, y-int., x-int, graphZSK= -(x+1)^2+1ZSK
asked 2020-12-06
The graph shows the number of teaspoons of lemon juice in cups of lemonade.
Which ordered pair represents a ratio equivalent to the ratio of teaspoons of lemon juice to cups of lemonade shown by the point on the graph?
A. (4,16)
B. (6,1)
C. (9,3)
D. (16,4)
Oscar chose A as the correct answer. How did he get that answer?
asked 2020-12-05
You invested money in two funds. Last​ year, the first fund paid a dividend of​ 9% and the second a dividend of​ 3%, and you received a total of ​$942 . This​ year, the first fund paid a​ 10% dividend and the second only​ 1%, and you received a total of ​$867 . How much money did you invest in each​ fund?
asked 2020-12-09
Find the x and y intercepts and graph the line.
2x+3y=-9
asked 2020-12-28
Item 11 Graph the linear equation y=3x+1 .
asked 2021-01-19
Given linear equation y = -1+2x
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
asked 2020-11-02
Given linear equation y = 3+4x
a. find the y-intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
...