Answer:
m=[tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (6, 10) and (1, 13)
We want to find the slope of the line that passes through these two points
To do that, we can use the slope formula
The formula for the slope calculated from two points is [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
We have the two points needed, but let's label their values in order to avoid confusion and mistakes:
[tex]x_1= 6\\y_1=10\\x_2=1\\y_2=13[/tex]
Now let's plug these values into the formula (m is the slope):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
m=[tex]\frac{13-10}{1-6}[/tex]
Now subtract the numbers.
m=[tex]\frac{3}{-5}[/tex]
The fraction is in simplest form.
The slope (m) of the line is [tex]-\frac{3}{5}[/tex]
Hope this helps! :D
