How can you use the coordinates of two points on a line to determine the slope of the line?

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

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

it's both, now can you answer my most recent question?