Calculate the slope of the line

MathematicsAnalytic GeometryEasy

Published:

m = ?

This question includes visual content: A Cartesian coordinate system drawn on grid paper in red ink. A straight blue line passes through the y-axis at y=2 and the x-axis at x=4. The vertical segment from the origin to the y-intercept is labeled '2', and the horizontal segment from the origin to the x-intercept is labeled '4'. The text 'm = ?' is written in the upper right area.

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Step by Step Written Solution

1
Step 1

Selam Elif, koordinat sisteminde verilen bu doğrunun eğimini beraber hesaplayalım.

Doğrunun Eğimi (m)

2
Step 2

Grafiğe baktığımızda doğrunun eksenleri kestiği noktaları görebiliyoruz. Eksenler üzerindeki uzunluklar bize koordinatları verecektir.

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3
Step 3

Doğru, y eksenini iki birim yukarıda kesiyor. Yani birinci noktamız sıfıra iki noktasıdır.

$$(x_1, y_1) = (0, 2)$$
4
Step 4

Doğru, x eksenini ise dört birim sağda kesiyor. Bu da ikinci noktamızın dörde sıfır olduğu anlamına gelir.

$$(x_2, y_2) = (4, 0)$$
5
Step 5

Eğimi bulmak için y'ler farkını x'ler farkına böleceğiz. Formülümüzü yazalım.

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

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About This Question

Subject
Mathematics
Topic
Analytic Geometry
Difficulty
Easy
Question Type
Open Ended

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