Answer:
The slope of the line is [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Hi there!
We are given the points (1, 4) and (5, 3)
We want to find the slope between these two points
The formula to calculate the slope (m) 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 2 points needed to calculate the slope, but let's label the values of the points to avoid any confusion and mistakes.
[tex]x_1=1\\y_1=4\\x_2=5\\y_2=3[/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{3-4}{5-1}[/tex]
Subtract
m=[tex]\frac{-1}{4}[/tex]
The slope of the line is [tex]-\frac{1}{4}[/tex]
Hope this helps!
See more on finding the slope from 2 points here: https://brainly.com/question/16458741
We need to find the slope between two points (1,4) and (5,3) . But , let's Recall the slope formula that we have ,the slope between any two points let they be [tex]{\bf{(x_1 , y_1)}}[/tex] and [tex]{\bf{x_2 , y_2)}}[/tex] is denoted by m and is given by :
Now , applying the same concept in our question :
[tex]{:\implies \quad \sf m=\dfrac{3-4}{5-1}}[/tex]
[tex]{:\implies \quad \sf m=-\dfrac14}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Slope=-\dfrac14}}}[/tex]
