Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.
1 answer:
The slope of the line in its simplest form is 3.
The slope of a line is .
We need to find the slope of the line in its simplest form.
<h3>What is the slope?</h3>In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now,
Therefore, the slope of the line in simplest form is 3.
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Answer:
Distance = 5 units
Step-by-step explanation:
The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).
<h2>Solution:</h2>In order to find the distance between two points, we can use the following distance formula:
Let (x₁, y₁) = (1, 5)
(x₂, y₂) = (5, 2)
Step 1: Substitute points into the formula:
Step 2: Subtract the integers in each of the parenthesis under the radical:
Step 3: Evaluate the powers (exponents):
Step 4: Add 16 and 9:
Step 5: Take the square root of 25:
⇒ Distance (D) = 5 units.
<h2>Final Answer:</h2>Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.
<h3>________________________</h3><u><em>Keywords:</em></u>
Distance formula
Two points
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