Equation of a Line Quiz: Test Your Understanding

Question 1

Calculate the gradient (slope) of the line represented by the equation y - 2 = 3(x + 1).

Accepted Answer

3

Answer

-3

Answer

-1

Answer

1

Question 2

Which of the following equations represents a line parallel to the x-axis?

Accepted Answer

y = 5

Answer

y = 2x + 3

Answer

y = x^2 - 1

Answer

y = -3x + 1

Question 3

Convert the equation of a line from point-slope form (y - 5 = 2(x - 3)) to standard form.

Accepted Answer

2x - y = -1

Answer

x - 2y = -1

Answer

2y - x = -1

Answer

y - 2x = -1

Question 4

Determine the equation of a line perpendicular to y = 2x + 3.

Accepted Answer

y = -1/2x + 1

Answer

y = -2x + 1

Answer

y = 1/2x + 1

Answer

y = 2x - 1

Question 5

What is the y-intercept of the line y = -2x + 5?

Accepted Answer

5

Answer

-2

Answer

-5

Answer

2

Question 6

Find the equation of the line that passes through the point (1, 2) and has a gradient of -1/2.

Accepted Answer

y = -1/2x + 3/2

Answer

y = -1/2x - 3/2

Answer

y = 1/2x + 3/2

Question 7

Which of the following equations represents a line that is perpendicular to the line y = 2x + 3?

Accepted Answer

y = -1/2x + 2

Answer

y = 2x - 3

Answer

y = -2x + 3

Answer

y = 1/2x + 2

Question 8

Find the equation of the line in point-slope form (y - y1 = m(x - x1)) that passes through the point (-3, 1) and has a gradient of -2.

Accepted Answer

y - 1 = -2(x + 3)

Answer

y + 1 = -2(x - 3)

Answer

y - 1 = 2(x + 3)

Answer

y + 1 = 2(x - 3)

Question 9

What is the y-intercept of the line represented by the equation 3x - y + 9 = 0?

Accepted Answer

9

Answer

-9

Answer

-3

Answer

3

Question 10

The equation of line A is y = 2x + 5. Line B passes through the point (1, 3) and is perpendicular to line A. What is the equation of line B in slope-intercept form?

Accepted Answer

y = -(1/2)x + 7/2

Answer

y = -(1/2)x + 1

Answer

y = 2x + 1

Answer

y = 2x + 7/2