All categories

3 years ago

Find the slope of the line that passes through (4, 10) and (2, 1).

Mathematics

2 answers:

Stella [2.4K]3 years ago

7 0

The slope of the line is - $\frac{9}{2}$

Step-by-step explanation:

Given:

Two points are (4,10) and (2,1)

To find:

The slope of the line passes though the points

Formula to be used:

Let "m" be the slope of the points ( $x_{1} y_{1}$ ,) and ( $x_{2} y_{2}$ ) respectively,

We all be aware of the slope formula that,

m = $\frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

Now,

The slope m = $\frac{1-10}{2-4}$

= $\frac{-9}{-2}$ = $\frac{9}{2}$

Thus the slope obtained is $\frac{9}{2}$

Oksanka [162]3 years ago

6 0

Answer:

slope = $\frac{9}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 10) and (x₂, y₂ ) = (2, 1)

m = $\frac{1-10}{2-4}$ = $\frac{-9}{-2}$ = $\frac{9}{2}$

You might be interested in

A snowstorm lasted for three days Dearing the storm 7 inches of snow fell on the first day 5 inches of snow fell on the second d

yanalaym [24]

Answer:

20 inches or 20/1

Step-by-step explanation:

8 0

3 years ago

Identify the correct equation that describe the relationship between a sine and cosine wave. a. v(t) = A sin (2πft + π/2) = A co

Flauer [41]

Answer:

A. v(t) = sin (2πft + π/2) = A cos (2πft)

Step-by-step explanation:

According to trigonometry friction, the following relationship are true;

Sin(A+B) = sinAcosB + cosAsinB

We will be using this relationship to check which option is true.

Wave equation is represented as shown;

y(t) = Asin(2πft±theta)

For positive displacement,

y(t) = Asin(2πft+theta)

If theta = π/2

y(t) = Asin(2πft+π/2)

y(t) = A[ sin 2πftcosπ/2 + cos2πft sin π/2]

Since sinπ/2 = 1 and cos (π/2) = 0

y(t) = A[ sin 2πft (0)+ cos2πft (1)]

y(t) = A[0+ cos2πft]

y(t) = Acos2πft

Hence the expression that is true is expressed as;

v(t) = Asin(2πft+π/2) = Acos2πft

8 0

3 years ago

Rewrite the function by completing the square F(x)=2x^2+3x-2

Lady bird [3.3K]

y = 2 ( x + 3/4 )^2 − 25 8

6 0

3 years ago

Read 2 more answers

Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and

WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.65$ estimated proportion.

$p$ true population

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: