First you'll need to isolate the equations so that y is on one side.
y is already on the left side in the second equation, so let's do the same for the first equation.
x+3y > -3
1. Subtract x from both sides.
3y > -3-x
2. Divide both sides by 3.
y > -1-1/3x
Now you have two equations that you can graph.
- y > -1-1/3x
- y < 1/2x + 1
I'll try to explain how to graph them, but I'll also attach a graph.
y > -1-1/3x
- Go to -1 on the y axis and go down 1, over 3 units. The line will be a dotted line because > is not equal to as well. Since it is greater than, >, you will shade above the line you make.
y < 1/2x + 1
- Go to 1 on the y axis and go up 1, over 2 units. The line is also dotted because < is not equal to (≤). Since it is less than, <, you will shade below the line you make.
Answer is:
Here is the final graph.
The red line is y > -1-1/3x, the blue line is y < 1/2x + 1.
The attached figures represent the transformations of the triangle ABC
<h3>How to draw the transformations</h3>
From the figure, the coordinates of the triangle ABC are:
A = (-2, 3)
B = (0, 2)
C = (3, 4)
Next, we carry out the required transformations on the above coordinates of the triangle ABC
<u>The rotation</u>
Here, we rotate the triangle 90 degrees clockwise across the origin
The rule of this transformation is:
(x, y) = (y, -x)
So, we have:
A' = (3, 2)
B' = (2, 0)
C' = (4, -3)
See figure (1) in the attachment for the graph of the rotation transformation
<u>The translation</u>
Here, we translate the triangle up by 3 units
The rule of this transformation is:
(x, y) = (x, y + 2)
So, we have:
A' = (-2, 5)
B' = (0, 4)
C' = (3, 6)
See figure (2) in the attachment for the graph of the reflection transformation
<u>The reflection</u>
Here, we reflect the triangle across the y-axis.
The rule of this transformation is:
(x, y) = (-x, y)
So, we have:
A' = (2, 3)
B' = (0, 2)
C' = (-3, 4)
See figure (3) in the attachment for the graph of the reflection transformation
Read more about transformation at
brainly.com/question/4289712
#SPJ1
5 hundred million hoped that helped
Answer:
y=−2/5x+4/5y
Step-by-step explanation:
Hope's this helps