Write the equation, in point-slope form, of the line passing through the points (7, 12) and (10, 11) help?

i need help

1 Answer

See below.

Explanation:

First, find the gradient (slope).
#12-11/7-10 = 1/-3#

#y = mx + c#
#m# = gradient
#c# = #y#-intercept
#y = (1/-3)x + c#
#12 = (1/-3)(7) + c#
#12 = -7/3 + c#
#12 + 7/3 = c#
#43/3 = c#

Hence, the equation is:
#color(red)(y = (1/-3)x + 43/3#

I hope that helps!