Answer:
The slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Step-by-step explanation:
We need to find the slope between points T (9, -3) and U (-4, 1)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We are given: [tex]x_1=9,y_1=-3, x_2=-4, y_2=1[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-(-3)}{-4-9} \\Slope=\frac{1+3}{-4-9} \\Slope=\frac{4}{-13}\\Slope=-\frac{4}{13}[/tex]
So, slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]