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hodyreva [135]
4 years ago
11

Write the equation of the line that passes through the points (3, 7) and (-1, 2)

Mathematics
1 answer:
nasty-shy [4]4 years ago
7 0

Answer:

y =  \frac{5}{4} x + 3 \frac{1}{4}

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line, m, first.

Gradient=\frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 2}{3 - ( - 1)}  \\ m =  \frac{5}{3 + 1}  \\ m = \frac{5}{4}

y =  \frac{5}{4} x + c

To find the value of c, substitute a coordinate.

when x= -1, y= 2,

2 =  \frac{5}{4} ( - 1) + c \\ c = 2 +  \frac{5}{4}  \\ c = 3 \frac{1}{4}

Thus, the equation of the line is

y =  \frac{5}{4} x + 3 \frac{1}{4}

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Length: 5   Width: 3

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Length: 3   Width: 5

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Enter the number that makes the equation true.​
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The unit rate of 64 pieces <br> of candy in 4 bags
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3 years ago
It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and
GaryK [48]

Answer:

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

8 0
4 years ago
Luke has $21 more than Rachel and $48 more than Daniel. All together they have $
KengaRu [80]
This can be solve by 3 variable equation
let x be the money of luke
y money of rachel
z money of daniel
first equation
x = y + 21
second equation
x = z + 48
third equation
x + y + z = 168
solving simultaneously
x =79
y = 58
z = 31

3 0
4 years ago
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