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1 answer:
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Answer:
belongs to the line
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that ,
and
, then we clear slope and solve the resulting expression:
Then, we conclude that point belongs to the line
, whose graph is presented below.
The graph that represents the inequality has been shown in the attachment.
<h3>How to solve for the graph</h3>We have these equations
y ≤ −3x + 1
y ≤ x + 3
We remove the inequality sign from both of these equations
y = −3x + 1
y = x + 3
−3x + 1 = x + 3
such that
x = -0.5
we use this value for x in any of the equations
x + 3 = -0.5 + 3
= 2.5
the point of intersection is at 2.5, -0.5
we test for the origin. 0,0
3x + 1
= 3*0 + 1
= 1
for x + 3
0+3 = 3
This is 0≤1 and 0≤3
Hence the graph should be shaded to the origin.
Read more on a graph here: brainly.com/question/14030149
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