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3 years ago

Find the slope of each line

Mathematics

1 answer:

sladkih [1.3K]3 years ago

3 0

Step-by-step explanation:

To find the Slope of each line, pick two points you can clearly identify on each graph. The first graph has a point (-5,5) and (4,-5). Using these two points find the difference of the y coordinates divided by the difference in the x coordinates, like this:

5 - (-5). = 10

-5 - 4 = - 9

So the Slope is - 10/9

Same steps for all. Your equation is

(y1 - y2) / (x1 - x2)

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Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

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3 years ago

Mary and Beth are using weather to make bracelets. Mary has y inches of leather. Beth have 7 more inches of leather than Mary ha

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Equation=
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4 years ago

Find the area of the triangle. A= 125°, b= 9, c= 6

Semmy [17]

The area of given triangle is: 22.1184

Step-by-step explanation:

When we only know two sides of a triangle and the included angle then the area of triangle is given by:

$A = \frac{1}{2} * side\ 1 * side\ 2 * angle$

Given

b = 9

c = 6

∠A = 125°

So the formula will be:

$A = \frac{1}{2} bc * sin\ A\\A = \frac{1}{2} * 9 * 6 * sin\ 125\\A = 27 * 0.8192\\A = 22.1184$

Hence,

The area of given triangle is: 22.1184

Keywords: Triangle, Area

Learn more about triangle at:

#LearnwithBrainly

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3 years ago

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Answer:

Step-by-step explanation:

the zeros are 1 and -4 and the graph points upward because a is positive

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To get this answer you would have to have a pace calculator!

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3 years ago

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