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3 years ago

Which equation represents a line parallel to the line shown on the graph?

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Answer:

-3x+3

Step-by-step explanation:

The equation to the line shown is formed as follows.

It passes through the points (-6,0) and (-8,6)

The gradient of the line=Δy/Δx

=(y₂-y₁)/(x₂-x₁)

=(6-0)/(-8--6)

=6/-2

=-3

The line parallel to the line shown has the same gradient i.e -3

Therefore the line in question is

-3x+3.

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Alex787 [66]

1. Change x = 4t into x = 3t

$4t\cdot\frac{3}{4}=3t$ so

$y=(\frac{3}{4}t)^2-1=\frac{9}{16}t^2-1$

Answer A and D are wrong.

2. Change x = 4t into x = 2t

$4t\cdot\frac{1}{2}=2t$ and

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3 years ago

Can someone help me please

Lady_Fox [76]

Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7

Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7

Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2

Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)

Answer: x=2 and y=3

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Answer:

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