Question

PLEASE HELP ME!!!!! What is the equation of the line that passes through the points (−2, 3) and (2, 7)? (5 points) a. x − y = −1 b. x − y = −2 c. x − y = − 5 d. x − y = − 6

Answer 1

I hope that this helps!

Answer 2

The expression for a line that passes throug the points (-2;3) and (2;7) is:

x - y = -5

Option C

Explanation:

The expression for a line that passes through 2 differents points can be obtained by the following formula:

y - yo = m(x-xo)

The coordinate of the point Po(xo,yo) can be either of the given points. The value of m is calculated like:

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

Where x2 and y2 are the coordinates for the point P2 and x1 and y1 the coordinates for the point P1. Assuming P1(-2;3) and P2(2;7), the value of m results:

m = (7-3)/(2-(-2)) = 4/4 = 1

Replacing m and the coordinates of P1 as the coordinates of Po, in the expression for the line we obtain:

y - 3 = (1)(x - (-2))

y - 3 = (1)(x+2)

y = x + 2+ 3

y = x + 5

-5 = x - y

x - y = -5