Find the equation of the straight line that passes through the points -3, -5 and 2, -11. First, what is the slope?

Find The Equation Of The Straight Line That Passes Through The Points 3 5 And 2 11 First What Is The Slope class=

Answer :

From the given question

There are given that the two points:

[tex](-3,\text{ -5) and (2, -11)}[/tex]

Now,

(a)

For finding the slope, use the slope formula:

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

Then,

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-11_{}-(-5)_{}}{2_{}-(-3)_{}} \\ m=\frac{-11+5}{2+3} \\ m=-\frac{6}{5} \end{gathered}[/tex]

Hence, the slope of the given line is shown below:

[tex]m=-\frac{6}{5}[/tex]