Aline passes through the points (2,4) and (5,6) . select yes or no to tell whether each equation describes this line. equation yes no y−6=32(x+5) y−4=23(x−2) y−4=32(x+2) y−6=23(x−5)

Option B and D are correct.

Step-by-step explanation:

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

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points and

then the general form for linear equations where m is the slope given by:

First calculate slope for the points (2, 4) and (5, 6);

then, by point slope intercept form;

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

then, by point slope intercept form;

Yes, the only equation of line from the given options  which describes the given line are;

 and

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5