2

3

4

5

6

find the slope of the line that contains the following points.

a(5,6), b(10,8)

5/2

2/5

14/15

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Skip to content# 2 3 4 5 6 find the slope of the line that contains the following points. a(5,6), b(10,8) 5/2 2/5 14/15

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3

4

5

6

find the slope of the line that contains the following points.

a(5,6), b(10,8)

5/2

2/5

14/15

next question

ask for

Hey there! 🙂

Slope = 2/5.

Step-by-step explanation:

Use the slope formula to solve for the slope of the line:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the coordinates of each point into the equation:

[tex]m = \frac{8 - 6}{10 - 5}[/tex]

Simplify:

m = 2/5. This is the slope of the line.

y = 0.4x + 4 or y= 2/5 +4

When x=0, y = 4

When y=0, x = -10

Explanation:

m = y2 - y1 / x2 - x1

m = 2 / 5 = 0.4

1. Identify the coordinates (x₁,y₁)and(x₂,y₂). Calculate the slope of the line passing through the points (5,6) and (10, 8).

2. Input the values into the formula. This gives us (8 - 6)/(10- 5).

3. Subtract the values in parentheses to get 2/5.

4. Simplify the fraction to get the slope of 2/5.

Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug the values and solve:

[tex]\frac{8-6}{10-5} = \frac{2}{5}[/tex]

The correct option is (B) [tex]\dfrac{2}{5}.[/tex]

Step-by-step explanation: We are given to find the slope of the line that contains the points A(5, 6) and B(10, 8).

We know that

the SLOPE of a line containing the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

From the given information,

(a, b) = (5, 6) and (c, d) = (10, 8).

Therefore, the slope of the line AB will be

[tex]m=\dfrac{d-b}{c-a}\\\\\\\Rightarrow m=\dfrac{8-6}{10-5}\\\\\\\Rightarrow m=\dfrac{2}{5}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{2}{5}.[/tex]

Option (B) is correct.

Find the gradient

y2-y1/x2-x1

= 8-6/10-5

=2/5

Slope formula : (y2 - y1) / (x2 - x1)

(5,6)x1 = 5 and y1 = 6

(10,8)...x2 = 10 and y2 = 8

now we sub and solve

slope = (8 - 6) / (10 - 5) = 2/5 <==