Answer:
The slope is [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (6, 13)
We want to find the slope of the line containing these two points
Slope (m) is the steepness of the line. When calculating from two points, you use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Although we have what we need to find the slope, let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=0\\y_1=4\\x_2=6\\y_2=13[/tex]
Substitute these values into the equation
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{13-4}{6-0}[/tex]
Subtract
m=[tex]\frac{9}{6}[/tex]
Simplify
m=[tex]\frac{3}{2}[/tex]
The slope of the line is 3/2
Hope this helps!
See more on calculating slopes from 2 points here: https://brainly.com/question/26738734
