Straight Lne

What is the slope of the line represented by the equation 2x + 3y = 6?

• 1

• 0

• 3

• -2/3

Write the equation of a line with a slope of -4 that passes through the point (2, 3).

• y = -4x + 5

• y = -4x - 1

• y = -4x + 11

• y = 4x + 3

Graph the linear equation y = 1/2x - 1. What is the slope and y-intercept?

• Slope: 2, Y-intercept: 1

• Slope: -1/2, Y-intercept: 0

• Slope: 1, Y-intercept: -2

• Slope: 1/2, Y-intercept: -1

Determine the x-intercept and y-intercept of the line 5x - 2y = 10.

• x-intercept: (2, 0), y-intercept: (0, -5)

• x-intercept: (1, 0), y-intercept: (0, -2)

• x-intercept: (3, 0), y-intercept: (0, -10)

• x-intercept: (0, 5), y-intercept: (5, 0)

If two lines have slopes of 3 and -1/3, are they parallel, perpendicular, or neither?

• intersecting

• parallel

• perpendicular

• neither

Convert the polar coordinates (5, π/4) to Cartesian coordinates.

• (5√3, 5√3)

• (0, 5)

• (5√2/2, 5√2/2)

• (5, 5)

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

• 2

• 4

• 1

• 3

Write the equation of the line in slope-intercept form that has a slope of 2 and passes through the origin.

• y = 2x - 3

• y = 2x

• y = x + 2

• y = 2x + 1

Graph the equation 3y - 6x = 9. Identify the intercepts.

• x-intercept: (-1.5, 0), y-intercept: (0, 3)

• x-intercept: (-3, 0), y-intercept: (0, 6)

• x-intercept: (1.5, 0), y-intercept: (0, -3)

• x-intercept: (0, 3), y-intercept: (-1.5, 0)

If a line has the equation y = 4x + 7, what is the slope and what does it indicate about the line?

• The slope is 0, indicating the line falls gradually.

• The slope is -4, indicating the line rises gently.

• The slope is 7, indicating the line is horizontal.

• The slope is 4, indicating the line rises steeply.