Question

A line 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=3/2(x+5) y−4=2/3(x−2) y−4=3/2(x+2) ​y−6=2/3(x−5)

Answer 1

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