What is the slope of the line that contains the points [tex]$(-5,-1)$[/tex] and [tex]$(-9,2)$[/tex]?

A. 3
B. [tex]\frac{4}{3}[/tex]
C. [tex]-\frac{3}{4}[/tex]
D. -7



Answer :

To find the slope of the line that contains the points [tex]\((-5, -1)\)[/tex] and [tex]\((-9, 2)\)[/tex], you can use the slope formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Here, the coordinates of the points are:
- [tex]\( (x_1, y_1) = (-5, -1) \)[/tex]
- [tex]\( (x_2, y_2) = (-9, 2) \)[/tex]

Substitute these coordinates into the slope formula:

[tex]\[ m = \frac{2 - (-1)}{-9 - (-5)} \][/tex]

Simplify the numerator and the denominator:

[tex]\[ m = \frac{2 + 1}{-9 + 5} \][/tex]

[tex]\[ m = \frac{3}{-4} \][/tex]

Therefore, the slope [tex]\(m\)[/tex] is:

[tex]\[ m = -\frac{3}{4} \][/tex]

So, the correct answer is:

[tex]\[ -\frac{3}{4} \][/tex]