The slope of the line that passes through two points is 11.
To understand the calculations, check below
Slope of a line:
Slope of a line describes the steepness of a line in a coordinate plane.
Slope is the ratio of change in y over change in x.
Slope Formula To find out the slope we use formula
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
The given two points are [tex](12,23)[/tex] is[tex](x_1,y_1)[/tex] and [tex](14,45)[/tex] is [tex](x_2,y_2)[/tex].
The value [tex]x_1[/tex] is 12 and [tex]x_2[/tex] is 14.
The value [tex]y_1[/tex] is 23 and [tex]y_2[/tex] is 45
Substitute the values into the slope formula:
To Understand the calculations check here,
[tex]slope = \frac{y_2-y_1}{x_2-x_1}\\slope = \frac{45-23}{14-12}\\\\slope =\frac{22}{2} =11[/tex]
The slope of the line that passes through two points is 11.
Learn more information about 'Slope' here brainly.com/question/18680909
