Answer:
The slope is equal to [tex]\frac{2}{3}[/tex] . So the right answer is A.
Step-by-step explanation:
We know that if we are given to points of a function we can find out its slope by using the following formula....
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where m is the slope, [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinates of the first point, [tex]x_{2}[/tex] and [tex]y_{2}[/tex] are coordinates of the second point.
Let (-4, 2) be [tex](x_{1} , y_{1})[/tex]
Let (-16, - 6) be [tex](x_{2}, y_{2} )[/tex]
then......
The slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.
Slope is or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
We have,
Points (-4, 2) and (-16, -6)
i.e.
x₁ = -4, x₂ = -16,
And,
y₁ = 2, y₂ = -6
Now,
Using the above mentioned formula,
Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
i.e.
Slope [tex](m) =\frac{-6-2}{-16-(-4)}[/tex]
On solving we get,
Slope [tex](m) =\frac{-8}{-12}=\frac{2}{3}[/tex]
So, the slope pf the given points is [tex]\frac{2}{3}[/tex] .
Hence, we can say that the slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.
To know more about Slope click here
https://brainly.com/question/3605446
#SPJ2
