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emmainna [20.7K]
2 years ago
14

A line passes through the point (-10, 2) and has a slope of 1/2

Mathematics
1 answer:
shtirl [24]2 years ago
6 0

Answer:

Step-by-step explanation:

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A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio
Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

3 0
3 years ago
Read 2 more answers
3x+2y=6 and y=1/3x-11 perpendicular or parallel
IgorLugansk [536]

Answer: To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.

For two lines  y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate  k1 and k2.

To calculate the slope k of any line, you have to change the equation to y=kx+b

For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))

For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)

Now you can get the answer: The two lines neither parallel nor perpendicular.

6 0
2 years ago
Need help like right now.
denpristay [2]

Let's go:


Big triangle:

12 + 3x - 6 = 3x + 6

10 + 8 = 18


\frac{10}{18} = \frac{3x - 6}{3x + 6} \\\\ 10.(3x + 6) = 18.(3x - 6) \\\ 30x + 60 = 54x - 108 \\\ 54x - 30x = 60 + 108 \\\ 24x = 168 \\\ x = 7


I hope I helped you.


4 0
3 years ago
Read 2 more answers
Use the table below to answer the following question
kakasveta [241]
A. false
B. true
C. true
D. true
8 0
3 years ago
I Need help! If you help me you'll get 10 points!!
natka813 [3]

To solve this problem you must apply the proccedure shown below:

1. You have that the number of innings are expressed as a mixed number in the exercise:

102^{\frac{2}{3} }

2. If you want to write it as a decimal, you can convert the fraction as a decimal by dividing the numerator by the denominator and then, you must add this to the whole number part:

102+\frac{2}{3}=102+0.67=102.67

The answer is: 102.67

7 0
2 years ago
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