Answer:
The slope is [tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.
The slope can be calculated from two points with the slope formula, which 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 two points given, but let's label their values to avoid any confusion when we actually calculate:
[tex]x_1=29\\y_1=11\\x_2=-3\\y_2=-7[/tex]
Now substitute into the formula (m is the slope).
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-7-11}{-3-29}[/tex]
Subtract
m=[tex]\frac{-18}{-32}[/tex]
Reduce the fraction
m=[tex]\frac{9}{16}[/tex]
The slope is [tex]\frac{9}{16}[/tex]
Hope this helps!
