Question

Question 5 of 11Write an equation of the form y = mx for the line shown below. If appropriate,use the decimal form for the slope.5-(4.6)(-2,-3)Answer here

Answer 1

Solution:

Points (4,6) and (-2,-3)

$\begin{gathered} \text{let x}_1\text{ = 4} \\ x_{2\text{ }}=\text{ -2} \\ y_1\text{ = 6} \\ y_{2\text{ }}\text{ = -3} \\ \\ m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \\ m\text{ = }\frac{-3-6}{-2-4} \\ \\ m\text{ = }\frac{-9}{-6} \\ \\ m\text{ = 1.5} \end{gathered}$

The slope of the line is 1.5

Step 2: