What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?

Mathematics

1 answer:

Artemon [7]4 years ago

8 0

Try this solution (analytic method):

1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.

2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:

1=3*6+b, ⇒ b=-17.

3. If to make up the equation of the new line:

y=3x-17

Answer: A

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steve measured the length of his room and found it to be 9 feet and 6 inches. The width of his room was 11 feet exacly. What is

Art [367]

Length: 114 in.
Width: 132 in.

For length, you have 9 feet and 6 inches. Meaning that if you would want to get the length of his room in inches, you would have to multiply 9 with 12 and add 6.

It's the same thing for the width.

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3 years ago

The vertices of a triangle are labeled clockwise A(–5, 3), B(6, 1), and C(–2, –3). How could you show that the figure is a right

mafiozo [28]

Explanation:

When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.

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If you have studied vectors, you can find the dot product of AC with BC:

AC = (-5, 3) -(-2, -3) = (-3, 6)

BC = (6, 1) -(-2, -3) = (8, 4)

The dot product is ...

(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0

When the dot product of vectors is zero, they are perpendicular.