All categories

3 years ago

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = -7/5

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

7 0

Answer:

Slope= 7/5

Step-by-step explanation:

The slope of a line is determined as a ratio of the change in y to the change in x.

Slope=Δy/Δx

Δy=y₂-y₁

Δx=x₂-x₁

Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.

m= (7-0)/(2-⁻3)

Slope= 7/5

When a negative number is subtracted from a number it the operation sign changes to addition.

BigorU [14]3 years ago

4 0

Answer: Last option

$slope=\frac{7}{5}$

Step-by-step explanation:

The equation to find the slope m of a line is:

$m=\frac{y_2-y_2}{x_2-x_1}$

Where $(x_1, y_1)$ and $(x_2, y_2)$ are two points through which the line passes

In this case the points are: (-3, 0) and (2, 7)

Therefore the slope is:

$m=\frac{7-0}{2-(-3)}$

$m=\frac{7}{2+3}$

$m=\frac{7}{5}$

The answer is the last option

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1150%3F%20%7D%20%20%3D%20" id="TexFormula1" title=" \sqrt[5]{1150? } = "

zimovet [89]

=4.0939
If you only need 1 d.p then it’s 4.1

3 0

3 years ago

5j=-25 write the equation

babymother [125]

I hope this helps you

7 0

3 years ago

Solve the following equation. log(3x)=log(2x-4) *

Irina18 [472]

log(3x) = log(2x-4)

taking antilog of both sides:

3x = 2x - 4

3x - 2x = -4 [subtracting 2x from both sides]

x = -4

and we're done already!

5 0

3 years ago

Which of the following equations best represents the regression line for the data given in the table above?

navik [9.2K]

B. y = 3x - 2

Step-by-step explanation:

A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0

Form a table as shown

x y xy x² y²

1 4 4 1 16

2 1 2 4 1

3 5 15 9 25

4 10 40 16 100

5 16 80 25 256

6 19 114 36 361

7 15 105 49 225

28 70 360 140 984 ------sum

From the table;

n=7 ---number of data points

∑x = 28

∑y=70

∑xy =360

∑x² =140

∑y² = 984

Applying equations for A and B

A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

A=(70)(140) - (28)(360) / 7(140)-(28²)

A=9800 - 10080 / 980-784

A= -280 /196

A= -1.43

B= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²

B=7(360)-(28)(70) / 7(140) - (28²)

B=2520-1960 /980-784

B=560/196

B=2.86

The equation will be;

Y=A+Bx

Y=-1.43+2.86x

Y=2.86x-1.43

Learn More

Regression line : brainly.com/question/12280902

Keywords : equations, regression line, data, table

#LearnwithBrainly

7 0

3 years ago

Suppose the coordinate of a is 0, ar = 5, and at =7. What are the possible coordinates of the midpoint of rt ?

77julia77 [94]

Here 'a' corresponds to 0.

Now there are two possibilities for 'r' & 't'

Case 1.

They are on the same side to the right of 'a'

In that case 'r' corresponds to 5 & 't' corresponds to 7.

The midpoint of 'r' and 't' shall be $\frac{5+7}{2} =6$

Case 2.

Both are on the left of 'a'.

In that case 'r' corresponds to -5 & 't' corresponds to -7

The midpoint shall be $\frac{-7-5}{2} =-6$

Case 3.

'r' in on the right of 'a' and 't' is on the left of 'a'

So 'r' corresponds to 5 and 't' corresponds to -7

The midpoint shall be $\frac{-7+5}{2}=-1$

Case 4.

'r' is on the left of 'a' & 't' is on the right of 'a'.

'r' corresponds to -5 & 't' corresponds to 7

The midpoint shall be $\frac{-5+7}{2}=1$

The possible coordinates of the midpoints of rt are 6, -6, 1, -1.

4 0

4 years ago