Question

Write and equation of the line that passes through each pair of points (-2,5),(5,-2)

Answer 1

Answer:

equation of a line is given by

y -y1 / x - X1 ==> y2 - y1 / X2 - X1

where yi = 5, y2 = -2

and x1 = -2, x2 = 5

from the equation above

y -y1 / x - X1 ==> y2 - y1 / X2 - X1

y -5 / X -(-2) ==> -2-5 / 5 - (-2)

y -5 / X + 2 ===> -7 /7

y - 5/ X + 2 ===> -1

cross multiply

y -5 ==> -1(X + 2)

y -5 ==> -x -2

collect like terms

y + x -3 = 0

or

y + X ===> +3