A line passes through the points (1,4) and (3,−1).
What’s the slope of the line?

-2 1/2

Step-by-step explanation:

Using rise/run

-1 - 4 / 3 - 1

-5 / 2

-2 1/2 or -2.5

-2.5 or -5/2

Step-by-step explanation:

Slope = rise/run

rise = -1 - 4 = -5

run = 3 - 1 =2

so rise/run  = -5/2 = -2.5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

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

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is c. 23/3