Graph the solution set for this -6x-3y<-18
1 answer:
Answer: See the graph attached.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where:
m: slope.
b: y-intercept.
Solve for y:
When you multiply by -1, the direction of the symbol changes. Then:
Then:
-You must graph the line:
Which has the slope -2 and intersects the y-axis at y=6
(The line is dashed for symbols < and > )
- Shade the region above the line (Because the symbol is >)
Therefore, you obtain the graph shown attached.
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Make an x and y table, and pick any values to plug in for x in the equation.
I will use the numbers from -2 to 2
Now plug in the values you picked for x into the equation to find its y-value
x = -2
y = 3x - 1 Plug in -2 for x
y = 3(-2) - 1
y = -6 - 1
y = -7
x = -1
y = 3x - 1
y = 3(-1) - 1
y = -3 - 1
y = -4
Do the same for the rest of the numbers, and graph each point and draw a line connecting them.
