Question

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?

x − y = −1
x − y = −2
x − y = − 5
x − y = − 6

Answer 1

the slope = (y2-y1) / (x2-x1)
= (7-3) / (2- -2)
= 4/4
= 1
using the point/slope form of a line:-
y - y1 = m(x - x1)
y - 3 = 1(x - -2)
y = x + 2 + 3
y = x + 5 (answer)