Finding the Equation of a Line

This is an MCQ-based quiz for GRE on How To Find The Equation Of A Line.

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

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What line goes through the points (1, 3) and (3, 6)?

–2x + 2y = 3 3x + 5y = 2 2x – 3y = 5 4x – 5y = 4 –3x + 2y = 3

Which line passes through the points (0, 6) and (4, 0)?

y = –3/2 – 3 y = –3/2x + 6 y = 2/3x –6 y = 1/5x + 3 y = 2/3 + 5

What is the equation of the straight line passing through (–2, 5) with an x-intercept of 3?

y = –5x – 3 y = –x + 3 y = –x – 3 y = –5x + 3

What is the equation of the line passing through (–1,5) and the upper-right corner of a square with a center at the origin and a perimeter of 22?

y = (–3/5)x + 28/5 y = (–3/5)x + 22/5 y = (3/5)x + 22/5 y = –x + 5 y = (–1/5)x + 2.75

Let y = 3x – 6. At what point does the line above intersect the following: 2x=2y/3+4

They intersect at all points (0,–1) (–5,6) They do not intersect (–3,–3)

A line is defined by the following equation:

7x+28y=84

What is the slope of that line?

4

-1/4

28

-4

1/4

What is the equation of a line passing through (4,−12) with a y-intercept of 9?

y=27/5x+9

y=−15/4x+12

y=−22x+15

y=−21/4x+9

y=−5x−9

What is the equation of a line passing through the two points (41,11) and (4,−9)?

y=17/14x−148/25

y=7/2x−85/3

y=14x−18

y=20/27x−14/15

y=20/37x−413/37

What is the equation of a line passing through the points (−2,17) and (5,−11)?

y=14/3x+17

y=−4x+9

y=4x+17

y=−27x−15

y=12/5x−20

Which of the following equations does NOT represent a line?

5y=10

x=10

x−y=10

x^2+y=10

x+y=10

Quiz/Test Summary
Title: Finding the Equation of a Line
Questions: 10
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