Question

1) Find the slope of the line

2) find the slope between the two points

help please, thank you

Answer 1

1 = 3/2

2 = -1/14

Explanation:

The equation for the slope of a line is
`(y_(2)-y_(1) )/(x_(2)-x_(1) )` (difference in Y divided by the difference in X) or simply just Rise/Run.

For the first one, we have to pinpoint two points on the graph. There's one point placed on the x-axis 2 units away from the origin (2,0) and one four units to the right and 3 units up from the origin (4,3). Since it's on a graph, the easiest way to calculate it is by counting the units up and then right from (2,0) to (4,3). You can count that (4,3) is 3 units up and 2 units right from (2,0). Since slope is Rise/Run, the slope is 3/2.

For the second one, you can use the equation
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`. The Y of the second point is 2, and the Y of the first point is 1. The X of the second point is -17, and the X of the first point is -3.

You can plug all 4 numbers in to get (2-1)/(-17- -3)

2-1 = 1 and -17 - -3 = -14. So your slope is 1/-14 or -1/14.