Ramesh Kumar

What is the formula to find the distance between two points in a coordinate plane?

• x2 - x1 + y2 - y1

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• (x2 - x1) * (y2 - y1)

• sqrt((x1 - x2)^2 + (y1 - y2)^2)

In which quadrant would the point (3, -4) lie?

• Quadrant II

• Quadrant IV

• Quadrant I

• Quadrant III

What is the equation of a vertical line passing through the point (5, -2)?

• y = 5

• x = -2

• x = 5

• y = -2

If the slope of a line is 2 and it passes through the point (4, 3), what is the equation of the line in slope-intercept form?

• y = -2x - 5

• y = 2x - 5

• y = 2x + 5

• y = 2x + 3

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

• ((x1 + y1) / 2, (x2 + y2) / 2)

• ((x1 + x2) / 2, (y1 - y2) / 2)

• ((x1 - x2) / 2, (y1 - y2) / 2)

• ((x1 + x2) / 2, (y1 + y2) / 2)

If a line has a slope of -3/4 and passes through the point (2, -5), what is the equation of the line in point-slope form?

• y + 5 = -3/4(x - 2)

• y = -3/4(x - 2)

• y - 5 = -3/4(x - 2)

• y + 5 = 3/4(x - 2)

What is the y-intercept of the line with equation y = 2x + 7?

• 10

• 7

• 2

• 5

If the coordinates of a point are (a, b), what are the coordinates of the reflection of this point over the x-axis?

• (a, -b)

• (a, a)

• (b, -a)

• (-a, b)

What is the slope of a line perpendicular to the line with equation y = 3x - 2?

• -3/2

• -1/3

• 1/3

• 2/3

Given the points A(1, 2), B(5, 6), and C(3, 4), determine if they form a right triangle.

• Yes, the points A(1, 2), B(5, 6), and C(3, 4) form an equilateral triangle.

• Yes, the points A(1, 2), B(5, 6), and C(3, 4) form a right triangle.

• No, the points A(1, 2), B(5, 6), and C(3, 4) do not form a right triangle.

• No, the points A(1, 2), B(5, 6), and C(3, 4) form an obtuse triangle.