The least number of classes needed for all the students to be registered in a class is 21 classes.
The graph is attached with the answer.
<h3>What is an Inequality ?</h3>
When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.
The given Inequality is 2x + y ≤ 2
in slope intercept form can be written as
y ≤ -2x +2 , here slope is -2 and intercept is 2
As an equation it will be
y = -2x +2
x y
0 , 2
1 , 0
2 -2
The graph is plotted
The area is shaded and the test for the origin is applied , and it lies in the shaded region.
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Answer:
3y + 5x = 0
Step-by-step explanation:
The slope of the line = (y2-y1) / (x2-x1) = (5-0)/(-6-(-3))
= 5 / -3 = -5/3
Using the point-slope form , the line that passes through the origin and parallel to this line is
y - 0 = -5/3(x - 0)
y = -5/3 x
Multiply through by 3:-
3y = -5x
5x + 3y = 0