Answer:
m = -1/2
Step-by-step explanation:
m = y1 - y2/x1 - x2
2 - 0/0 - 4
-2/4
Simplify
-1/2
How to solve your problem
Topics: Algebra, Polynomial
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
Solve
1
Find common denominator
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
2
Combine fractions with common denominator
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
7
+
3
⋅
2
3
=
−
1
\frac{7x+3 \cdot 2}{3}=-1
37x+3⋅2=−1
3
Multiply the numbers
7
+
3
⋅
2
3
=
−
1
\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1
37x+3⋅2=−1
7
+
6
3
=
−
1
\frac{7x+{\color{#c92786}{6}}}{3}=-1
37x+6=−1
4
Multiply all terms by the same value to eliminate fraction denominators
7
+
6
3
=
−
1
\frac{7x+6}{3}=-1
37x+6=−1
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
5
Cancel multiplied terms that are in the denominator
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
7
+
6
=
3
(
−
1
)
7x+6=3\left(-1\right)
7x+6=3(−1)
6
Multiply the numbers
7
+
6
=
3
(
−
1
)
7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)
7x+6=3(−1)
7
+
6
=
−
3
7x+6={\color{#c92786}{-3}}
7x+6=−3
7
Subtract
6
6
6
from both sides of the equation
7
+
6
=
−
3
7x+6=-3
7x+6=−3
7
+
6
−
6
=
−
3
−
6
7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}
7x+6−6=−3−6
8
Simplify
Subtract the numbers
7
=
−
9
7x=-9
7x=−9
9
Divide both sides of the equation by the same term
7
=
−
9
7x=-9
7x=−9
7
7
=
−
9
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}
77x=7−9
10
Simplify
Cancel terms that are in both the numerator and denominator
=
−
9
7
x=\frac{-9}{7}
x=7−9
Solution
=
−
9
7
If you would like to expand the expression 7 * (9 * x - 2), you can do this using the following steps:
7 * (9 * x - 2) = 7 * 9 * x - 7 * 2 = 63 * x - 14
The correct result would be 63 * x - 14.
ANSWER
Multiplying by compresses the graph by a factor a factor of .
EXPLANATION
Given the basic floor function,
⌊x⌋
We can perform the following transformations,
⌊⌋.
The c determines the step-wise y-intercept.
The b determines the horizontal shift
The tells us the vertical stretch.
If , the graph compresses vertically by a factor of .
If , the graph stretches vertically by a factor of .
In the diagram, the graph with the color green is the basic function while the graph in the blue color is the vertically compressed function.
You can observe that the steps of the original function are 1 unit above one another while that of the transformed function are 0.25 units above one another.