Respuesta :
Hello!
To find the slope of the line that passes through the points (3, 6) and (5, 3), we will need to use the slope formula.
Slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].
Now, we should assign the given points as x1, y1 or x2, y2. The point (3, 6) can be assigned to x1, y1, and (5, 3) to x2, y2.
Now, substitute the given points into the slope formula.
[tex]\frac{3-6}{5-3} = -\frac{3}{2}[/tex]
Therefore, the slope of the line is choice A, -3/2.
Answer:
The slope of the line that passes through the points (3, 6) and (5, 3) is A . -3/2
How do you find the slope of a line?
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
What is meant by the slope of a line?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
What is the slope of a line example?
Negative Slope
Consider, for example, two points (10, 0) and (0, 50) that lie on a line. We then label them (x1, y1) and (x2, y2) respectively. Using this information, the slope of the line is m=(0-50)⁄(10-0)=-50⁄10=-5.
Learn more about the slope of a line at https://brainly.com/question/16949303
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