Question

Select the equation that contains the points, (-3,-23) and (5,9).O None of the other answers are correctO y-4=-4(x - 5)O y+4= 5(x+5)O y-5= 4(x – 4)O y+5= -2(x+4)

Answer 1

We have to identify the line that passes through points (-3,-23) and (5,9).

We can calculate the slope of the line as:

`m=(y_2-y_1)/(x_2-x_1)=(9-(-23))/(5-(-3))=(9+23)/(5+3)=(32)/(8)=4`

Then, we can write the equation in slope-point form as:

`\begin{gathered} y-y_0=m(x-x_0) \\ y-9=4(x-5) \end{gathered}`

The equation of the line is y - 9 = 4(x - 5).

Answer: None of the other answers are correct