Respuesta :
slope, m = (y2-y1) / (x2-x1)
m = (11-2) / (6-3)
m = 9/3
m= 3
So, your answer is 3
Hope it helped.
m = (11-2) / (6-3)
m = 9/3
m= 3
So, your answer is 3
Hope it helped.
You can use the definition slope of line to find the slope of the line which passes through the given points.
The slope of the line which passes through given points is 3
What is the slope of a straight line?
Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. Thats why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.
Formula for slope, thus, is;
[tex]Slope = \dfrac{Rise}{Run} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
(went from [tex]x_1[/tex] to [tex]x_2[/tex] and found that line goes from [tex]y_1[/tex] to [tex]y_2[/tex] vertically)
where [tex](x_1,y_1), (x_2, y_2)[/tex] are two points on the considered line.
Using above definition
[tex](x_1, y_1) = (3,2)\\(x_2, y_2) = (6, 11)[/tex]
Thus, slope is
[tex]Slope = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{11-2}{6-3} = \dfrac{9}{3} = 3[/tex]
You can see the graph of the line which is attached below.
Thus,
The slope of the line which passes through given points is 3
Learn more about straight line here:
https://brainly.com/question/380976
