What are the coordinates of the point that is 1/4 of the way from a to b ?

((X_2 - X_1)/4, (Y_2 - Y_1)/4)

Step-by-step explanation:

C = The new point

X_1 = The x coordinate of A

X_2 = The x coordinate of B

X_3 = The x coordinate of C

Y_1 = The y coordinate of A

Y_2 = The y coordinate of B

Y_3 = The y coordinate of C

The distance between A and the new point, C, is equal to 1/4 the distance from the X coordinate of A to the X coordinate of b.

So,  X_3 = (X_2 - X_1)/4

The Y is the same thing but for the Y coordinate.

Y_3 = (Y_2 - Y_1)/4

This means that the coordinates of C are equal to ((X_2 - X_1)/4, (Y_2 - Y_1)/4)

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4