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skad [1K]
2 years ago
11

Write the equation of the line in slope-intercept form that goes through the points: (2,4) and (7,-1)

Mathematics
2 answers:
PSYCHO15rus [73]2 years ago
8 0
Yes what the person above me said it’s probably right they sound like they know what they r doing
IgorC [24]2 years ago
7 0

Answer:

y= -x+8

Step-by-step explanation:

slope int. form: y=mx+b

first, we need to find the slope (m)

the two points are (2,4) and (7,-1).

to find the slope we do (y2-y1)/(x2-x1)

doing this we get -5/5=-1

now we can plug in point (2,4) and the slope into y=mx+b

doing this we get:

4=-1(2)+b

4=-2+b

b=8

now we have the equation:

y= -x+8

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daniel's basketball team won 23 games and lost 8 games. Write the ratio of wins to losses in simplest form.
Soloha48 [4]
23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest
3 0
3 years ago
Please do #4 It’s it the one on the bottom
spin [16.1K]

We need to graph this equation:

16x+2y=300

Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:

\begin{gathered} 16x+2y=300 \\ 16x+2y-16x=300-16x \\ 2y=300-16x \end{gathered}

And we divide both sides by 2:

\begin{gathered} \frac{2y}{2}=\frac{300-16x}{2}=\frac{300}{2}-\frac{16x}{2} \\ y=150-8x \end{gathered}

So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:

y=150-8\cdot0=150

So the first point is (0,150). Then we can take x=10 and we get:

y=150-8\cdot10=150-80=70

So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it

3 0
1 year ago
Suppose that a cyclist began a 364 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
maw [93]
The car's average rate  is 43.7 mph. The bicycle's average rate is 12.3 mph.

To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph. 

Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
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24.6 = 2x
24.6/2 = x
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6 0
3 years ago
The sum of the square of a number and 34
Ne4ueva [31]
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

n^{2} +34

Hope that helped! =)
5 0
3 years ago
Read 2 more answers
The animal department wants to estimate baboon population. So they paint 50 baboons with a mark. These baboons were then release
Svet_ta [14]

Answer:

  600 baboons

Step-by-step explanation:

Half the number of marked baboons showed up in the sample, so we expect the sample size to be about half of the total population. 300 is half of 600.

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3 0
2 years ago
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