What is an equation of the line that passes through the points (0,-2) and (6,-7)

Question

Question from Delta Math, needs help solving for equation.

Answer 1

Generic equation of a line is:

 

y = mx + b

 

m is the slope and b is the y-intercept.

 

First find the slope

 

slope = difference in y/difference in x = (-7 - (-2))/(6-0) = -5/6 = m

 

y-intercept is -2 since it is what y is when x=0, therefore b=-2

 

final equation:

 

y = (-5/6) x - 2