Answer:
The slope of the line is [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
We are given the following points: (-2, 4) and (0, 9)
We want to find the slope (m) of these 2 lines, and the problem asks us to use the slope formula
The slope formula is given as [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 we need to calculate the slope, but let's label the values of the points to avoid any confusion.
[tex]x_1=-2\\y_1=4\\x_2=0\\y_2=9[/tex]
Now substitute these values into the formula to find the slope.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{9-4}{0--2}[/tex]
Simplify.
m=[tex]\frac{9-4}{0+2}[/tex]
Add (or subtract) the numbers together
m=[tex]\frac{5}{2}[/tex]
The slope of the line is [tex]\frac{5}{2}[/tex]
Hope this helps!
See more on finding the slope from 2 points here: https://brainly.com/question/26738734
