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

Step-by-step explanation:

The equation of the line is

$y+2=\frac{1}{3}(x-1)\\\\y+2=\frac{1}{3}x-\frac{1}{3}\\\\y=\frac{1}{3}x-\frac{7}{3}$

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.