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user100 [1]
2 years ago
8

What is an equation in point-slope form for the line that contains the points (-1, 4) and (11, -6)?

Mathematics
1 answer:
pshichka [43]2 years ago
5 0

Answer:

The equation in point-slope form is y-4=-\frac{5}{6}(x+1)

Step-by-step explanation:

Given points are;

(-1, 4) and (11, -6)

We will find the slope of the line through the given points.

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

m = \frac{-6-4}{11-(-1)}

m = \frac{-10}{12}

m = \frac{-5}{6}

Point slope form of a line is given by;

y-y_1=m(x-x_1)

Putting the point (-1,4) and slope in the equation

y-4=-\frac{5}{6}(x-(-1))\\y-4 =-\frac{5}{6}(x+1)

Hence,

The equation in point-slope form is y-4=-\frac{5}{6}(x+1)

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What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
kotykmax [81]

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1

5 0
2 years ago
Mindy read 8 pages of her book the first day, 15 pages the second day, and 22 pages the third day. if the pattern continues , ho
Mars2501 [29]
Entirely impossible to know, there are an infinite number of sequences which have the terms 8, 15, and 22 for n=1,2,3 -you could say that if you wanted to give a "smart" answer and it would be true
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3 years ago
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andre [41]

Answer:

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Step-by-step explanation:

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3 years ago
3x+2y=4 and 2x-4y=8. need help with coodinates
Ksenya-84 [330]

Answer:

The solution set would be (2, -1)

Step-by-step explanation:

To find the solution set, use the elimination method. You can do this my multiplying the whole first equation by 2 and then adding the two equations together.

6x + 4y = 8

2x - 4y = 8

----------------

8x = 16

x = 2

Now that we have the value of x, solve for y using either equation.

2x - 4y = 8

2(2) - 4y = 8

4 - 4y = 8

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3 years ago
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Answer:

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