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What is the slope of a line through (1, 3) and (-2, 2)?


Sagot :

Answer:

The slope of the line is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

It's given the points (1,3) and (-2,2). Let's calculate the slope:

[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]

Calculating:

[tex]\displaystyle m=\frac{-1}{-3}[/tex]

[tex]\displaystyle m=\frac{1}{3}[/tex]

The slope of the line is [tex]\frac{1}{3}[/tex]