Write an equation of a line that passes through the two given points. Your answer should be written in slope-intercept form.
P(6, 0), Q(7, −6)
The equation of a line passing through two points ( x1, y1 ) and ( x2 , y2 ) is:
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
In this case:
x1 = x coordinate of point P
x1 = 6
y1 = y coordinate of point P
y1 = 0
x2 = x coordinate of point Q
x2 = 7
y2 = y coordinate of point Q
y2 = - 6
So:
y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )
y - 0 = ( - 6 - 0 ) ( x - 6 ) / ( 7 - 6 )
y = - 6 ( x - 6 ) / 1
y = - 6 x + 36