Answer:
Slope of the line = 2
Step-by-step explanation:
Slope of a line through two points lying on the line [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the figure attached,
Given line is passing through two points (0, 1) and (1, 3).
Therefore, slope of the line will be,
Slope = [tex]\frac{3-1}{1-0}[/tex]
= 2
The slope of the line given in the graph is -0.5.and this can be determined by using the point-slope form and slope-intercept form.
Given :
To determine the slope of the line, the point-slope form can be used. The point-slope form is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.
[tex]\dfrac{y-1}{x-0}=\dfrac{0-1}{0.5-0}[/tex]
0.5(y - 1) = -x
[tex]y = -\dfrac{1}{2}x +1[/tex]
Now, compare equation (1) with the slope-intercept form of the line.
m = -0.5
c = 1
So, the slope of the line is -0.5.
For more information, refer to the link given below:
https://brainly.com/question/2263981
