Answer:
The slope is [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
Hi there!
We are given two points: (10, 63) and (94, -7)
We want to find the slope that passes through these lines
We can use the slope formula to find it
The formula for 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 everything needed to find the slope, let's just label their values to avoid confusion:
[tex]x_1=10\\y_1=63\\x_2=94\\y_2=-7[/tex]
Now substitute these values into the formula:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-7-63}{94-10}[/tex]
Subtract the numbers:
m=[tex]\frac{-70}{84}[/tex]
Divide:
m=[tex]-\frac{5}{6}[/tex]
The slope of the line is [tex]-\frac{5}{6}[/tex]
Hope this helps!
