The points represented by the (x, y) coordinate pairs in the table below all lie on line k.
X
1
2.
3
4
5
у
3
1
- 1
-3
-5
What is the slope of line k?
A
-2
B
-3
C
2
D
5

Using it's formula, it is found that the slope of line k is of -2, hence option A is correct.

Given two points (x,y) on a line, the slope is given by the change in y divided by change in x.

In this problem, two of the points are: (1,3) and (2,1).

Hence, applying the division:

The slope of the line is of -2, hence option A is correct.

A similar problem, in which the objective is also finding the slope, is given at link

Step-by-step explanation:

For every increase in the x-value by 1,

the y-value decreases by -2.

(From 3 to 1 and from 1 to -1)

Hence, slope of line k

= Rise/Run = (-2)/1 = -2. (A)

answer is : muchas/tipicas

have a nice day!

~recklesschicken

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)