Question

Which equation represents the line that passes through the points (-5,2) and (9,0)

Answer 1

Explanation:

Given points

( -5 , 2) and (9 , 0)

First calculating slope(m)

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

= ( 0-2) / ( 9+5)

= -2 / 14

= -1/7

Now The equation of line is given by

y - y1 = m ( x - x1)

y -2 = -1/7 (x + 5)

7( y - 2) = -1(x + 5)

7y - 14 = -x -5

x + 7y -14 +5 = 0

x + 7y - 9 = 0

Which is the required equation