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svetlana [45]
3 years ago
11

PLEASE HELP THIS IS A LINEAR EQUATIONS

Mathematics
2 answers:
Stells [14]3 years ago
8 0
D or B I’m not sure
aalyn [17]3 years ago
7 0
Linear equations can be written different ways such the form y=mx+b, where m is the slope of the line and b is the y intercept.
We can substitute our given coordinates into the equations to find out which one is correct.
A:
y =  \frac{2}{3} x + 4
y =  (\frac{2}{3}  \times  - 3) + 4 \\   y= \frac{ - 6}{3}  + 4 \\   y= - 2 + 4 \\  y= 2
For this equation, when the value of x is - 3, y is 2. This means that A is the correct equation as it passes through the given coordinate (-3,2), and has a slope (m) of 2/3.
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Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)
OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of sides are

AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}

BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}

CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}

AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Slope of AB is

m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}

Slope of BC is

m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

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