The equation of the line will be given as y = -4x - (- 17/ 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).
The equation of the line will be given as:-
y - y₁ = m ( x - x₁)
slope m will be calculated as:-
The equation will be:-
y - (1/4) = -4( x + 1 )
y = -4x - (17/4)
Therefore the equation of the line will be given as y = -4x - (- 17/ 4).
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A sequence of operations that will get you to the solution is ...
... d. multiply each side by-5, add 25 to each side
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That is not the only correct sequence of operations. However the other ones listed here are incorrect ways to get to x = -10.
You can do whatever multiplication and addition you like to each side of the equation, but if those operations are poorly chosen, they will make finding the solution more difficult.
Studio = 7 yards by 4 yards
Area = 7*4 = 28 square yards.
Area of square carpet = 1 yard * 1 yard = 1 square yard
Number needed = Area of studio / Area of square carpet = 28 / 1 = 28
Number needed = 28