Finding Out if a Point is on a Line with an Equation

This is an MCQ-based quiz for GRE on How To Find Out If A Point Is On A Line With An Equation.

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Find the point where the line y = .25(x – 20) + 12 crosses the x-axis.

(–7,0) (0,–28) (0,0) (12,0) (–28,0)

Consider the lines described by the following two equations: 4y = 3x^2 3y = 4x^2 Find the vertical distance between the two lines at the points where x = 6.

12 44 21 48 36

For the line y=x/3−7 Which one of these coordinates can be found on the line?

(6, –12) (6, 5) (3, –6) (9, 5) (3, 7)

Solve the following system of equations: –2x + 3y = 10 2x + 5y = 6

(3, –2) (3, 5) (–2, 2) (2, 2) (–2, –2)

On a coordinate plane, two lines are represented by the equations y=x+3 and y=2x+5. These two lines intersect at point C. What are the coordinates of point C?

(−1,2)

(2,−1)

(1,−2)

(−2,1)

(−2,−1)

If the two lines represented by y=x+4 and y=3x−8 intersect at point x, what are the coordinates of point x?

(4,8)

(6,8)

(6,10)

(2,6)

(2,4)

Which of the following set of points is on the line formed by the equation 3x−6y=12?