The graph of a linear equation contains the points (3,11) and (-2,1). Which point also lies on the graph?
Following the hint:
First: find the slope: m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 11 ) / ( - 2 - 3 ) = -10 / -5 = 2
Using the equation: y - y1 = m( x - x1 )
y - 11 = 2( x - 3 )
y - 11 = 2x - 6
y = 2x + 5
Second: try each of the possibilities:
Choice 1: (2, 1) ---> 1 = 2(2) + 5
1 = 4 + 5
1 = 9 <--- Not true!
So, try the other choices until one of them is true ...