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PolarNik [594]
2 years ago
14

What is the solution to the following system of equations

Mathematics
1 answer:
Zanzabum2 years ago
6 0

Answer: x=-2

Step-by-step explanation:

y=x+1

y=-x-3

-x-3=x+1

-4=2x

x=-2

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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

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Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

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

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

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Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

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m_2 = -\frac{1}{2}

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