Question

If a line has a slope of 1/3 and passes through the point (1,-2) which ff points also lies on the line a) -2,-5 b) -2,1 c) 4,-1 d) 4,10

Answer 1

Answer: c

Explanation:

The equation of the line is

`y+2=(1)/(3)(x-1)\\\\y+2=(1)/(3)x-(1)/(3)\\\\y=(1)/(3)x-(7)/(3)`

To determine which point lies on the line, we can substitute in the x coordinate and see if the equation gives the same y-coordinate.

• If x = 2, then the equation of the line gives that y = -5/3.
• If x = 4, then the equation of the line gives that y = -1.

Therefore, the answer is c.