Answer:
The expression for a line that passes throug the points (-2;3) and (2;7) is:
x - y = -5
Option C
Step-by-step 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
