Find the slope of the line through each pair of points.
1) (13, -11), (3, 1)
2) (4, 12), (11, 14)
3) (-8, -1), (13, 1)
4) (7.-9), (0, 2)

1.  Slope=12/-10

2. Slope= 2/7

3. Slope= 2/21

4. Slope= 11/-7

Step-by-step explanation:

to find slope, plug in the numbers for y₂-y₁ over x₂-x₁ or  y₂-y₁/x₂-x₁  this means using the y coordinate from the second point and subtracting it from the first y coordinate and keeping it in fraction form. Then you subtract the fist x value from the second x value the same way as the y. then simplify all the numbers, sometimes there are negatives but that it perfectly fine. :) I hope this helped!!

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

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral