What is the slope of the line that is parallel to the y-axis and passes through the point (-1,5)?
1. -1
2. 0
3. 5
4. undefined

comparing the coordinates to the general equation of a line, where

y = bx + c

where b is the slope and c is the intercept on the y-axis.

from the question

x coordinate = -1

y coordinate =5

substituting them in the formula

5 = -1(b) + c

5 = -b + c. hence the slope is -1

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

move it to the other side

step-by-step explanation: