Which equation could correspond to the graph of the linear function shown below (1) y=3x+2
(2) y=-1/4x-7
(3) y=-2x+1
(4) y=4x-2
HELP ME I BEG YOU TUTORS

Given:

The graph of linear function.

To find:

The equation for the linear function.

Solution:

The slope intercept form of a linear function is

where, m is slope and b is y-intercept.

From the given graph it is clear that the line has downward slope. It means, slope or value of m must be negative.

The line intersect the y-axis in positive direction of y-axis. It means, y-intercept or value of b must be positive.

From the given options, only is option (3), i.e., , then value of m=-2 is negative and value of b=1 is positive.

Therefore, the correct option is (3).

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x