For the function whose graph is shown, which is the correct formula for the function?

a. y = –2x – 3

b. y = 2x – 3

c. y = 2x + 3

d. y = –2x + 3

y=-2x+3

Step-by-step explanation:

Here we are given a graph of line. We can see from the graph that the y intercept . i.e the distance of the the point at which it intersect y axis from (0,0) is 3.

Also we see that the line is making obtuse angle with the positive x axis . Hence tan of this angle will be negative or we can say that the slope of this line is negative

Now the equations in options are given in slope intercepts form

y=mx+c

where m is slope and c is y intercept

Hence in the given four options we see that only 3rd and 4th option has y intercept as 3

But the slope of 3rd is positive and that of 4th is negative . Hence our answer is 4th option

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

step-by-step explanation: