Find an equation for the line that passes through the points (-5,-2) and (1,2)

First we have to find the slope. I use delta y/delta x when doing it from points.

2--2/1--5=4/6=2/3

Now the equation is y=2/3x+b

We just have to find the y-intercept. You can graph it or plug in the points.

Either way, the y-intercept is 1.3 repeating.

The equation is y=2/3x+1.3 repeating.

I hope this helps.

answer: ouch. thats difficult

step-by-step explanation:

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