Will give brainlist

given the equation y = -5x - 6 and the points (0,-6) (-1,-1) (2,-16) show that the slope is the same between these points.

a. slope is 1/5
b. slope is -5
c. slope is -6
d. slope is 1/6

slopes are the same

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5x - 6 ← is in slope- intercept form

with slope m = - 5

Calculate the slope between the 2 points using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2, - 16)

m = = = - 5

The slope of the line and the slope between the 2 points are the same

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2