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5
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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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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
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 <==