REAL ANSWERS ONLY! NO LINKS THIS IS URGENT

A line passes through the points (2,4) and (5,6).

Select Yes or No to tell whether each equation describes this line.

y−6=3/2(x+5) Yes No

​y−4=2/3(x−2)​ Yes No

​y−4=3/2(x+2)​ Yes No

​y−6=2/3(x−5)​ Yes No

Answers:

Explanation:

Let's use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (6-4)/(5-2)

m = 2/3

The slope of the line is 2/3.

We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.

Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.

If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying

If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.

That makes choices 2 and 4 "yes" responses.

a

step-by-step explanation: