Find the slope of the line that passes through the points (1, 3) and (5, -7).

The slope of any line is the fraction , where is the change in y-coordinate and is the change in x-coordinate.

To find these changes, we take the difference of the corresponding x and y coordinate for the two points. Here, our y-coordinates are -7 and 3, and our x-coordinates are 5 and 1, so our slope is

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s