Question

Which is the equation to the line passing through points (2, –7) and (5, –1)?

y = – 2x + 6
y = 2x – 11
y = 2x – 8
y = – 2x + 9

Answer 1

to get the equation of the line passing through the points (2, –7) and (5, –1) :
1º find the slope: -1-(-7)/5-2=6/3=2
2º substitute (a,b) by the values (x,y) of any of two points into this equation:
y-b=2(x-a)
3º put in the form of the equations you have in the answer set to choose the right one