Find the point, m, that is five-sixths of the distance from a(-7, 2) to b(-1, -4). a) (-1, -3) b) (-2, -3) c) (-1, -4) d) (-2, -4)

Firstly, how many units apart is -7 from -1 (the x-coordinates)? That would be 6 units away. Multiply 5/6 by 6:

Next, how many units apart is 2 from -4? That would be, again, 6 units. Multiply 5/6 by 6.

Now, since from -7 to -1 it's increasing, add 5 to -7:

-2 is the x-coordinate of M.

Next, since from 2 to -4 it's decreasing, subtract 5 from 2:

-3 is the y-coordinate of M.

Putting it together, M is at (-2,-3), or B.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

5 pm

step-by-step explanation: