Write the equation of the line that passes through the points (3, 6) and (4, 10). (5 points)

y = 4x − 6
y = x + 4
y = 2x + 4
y = -4x − 6

2 answers

the slope is (10-6)/(4-3) = 4
The only choice with that slope is y = 4x-6
Equation of straight line in two point form:

y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )

In this case:

x1 = 3 , y1 = 6 , x2 = 4 , y2 = 10

y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )

y - 6 = ( 10 - 6 ) ( x - 3 ) / ( 4 - 3 )

y - 6 = 4 ( x - 3 ) / 1

y - 6 = 4 x - 12

Add 6 to both sides

y = 4 x - 6

What does it matter how many points you get for this question?