Linear Equations Two Variables

Convert the equation 4y = 8x + 16 into slope-intercept form.

• y = 2x + 4

• y = 4x + 8

• y = 2x - 4

• y = 4x - 8

What is the slope of the line represented by the equation y = 0.25x - 2?

• 0.5

• 0.25

• 1.0

• -2

How do you find the y-intercept of a linear equation?

• Set y = 0 in the equation and solve for x.

• Set x = 0 in the equation and solve for y.

• Find the slope of the line and use it to determine the y-intercept.

• Use the quadratic formula to find the y-intercept.

Identify the slope and y-intercept of the equation y = -x + 1.

• Slope: 1, Y-intercept: -1

• Slope: -1, Y-intercept: 1

• Slope: 0, Y-intercept: 1

• Slope: -1, Y-intercept: 0

How do you determine if two lines are parallel?

• Two lines are parallel if they have the same slope but different y-intercepts.

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if they have different slopes.

• Two lines are parallel if they are on the same plane.

If the slope of a line is 3, what does this indicate about the line?

• It indicates that for every 1 unit increase in x, y increases by 3 units.

• It indicates that the line is vertical.

• It indicates that the line is horizontal.

• It indicates that for every 3 units increase in x, y increases by 1 unit.

What is the y-intercept of the equation 6x + 2y = 12?

• 4

• 6

• 8

• 10

What is the significance of the point where a line crosses the y-axis?

• It represents the value of y when x is 0.

• It indicates the slope of the line.

• It shows the maximum value of y.

• It is the point where the line intersects the x-axis.

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = m + b

• y = mx - b

What is the general form of a linear equation?

• Ax + By + C = 0

• y = mx + b

• Ax^2 + By^2 + C = 0

• y = A(x - h)^2 + k