equation of a straight line

What does the y-intercept represent in a linear equation?

• The point where the line crosses the x-axis.

• The value of y when x is 0.

• The slope of the line.

• The maximum value of y in the equation.

What is the equation of a straight line with a gradient of 2 and a y-intercept of 3?

• @@y = 2x + 3@@

• @@y = 3x + 2@@

• @@y = 2x - 3@@

• @@y = -2x + 3@@

What is the equation of a straight line with a gradient of 2 and a y-intercept of -5?

• @@y = 2x - 5@@

• @@y = 2x + 5@@

• @@y = -2x - 5@@

• @@y = -2x + 5@@

What is the significance of a gradient of 0 in a linear equation?

• It indicates a vertical line, meaning the x-value remains constant regardless of the y-value.

• It indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.

• It indicates a diagonal line, meaning both x and y values change at the same rate.

• It indicates a curve, meaning the relationship between x and y is non-linear.

What is the relationship between the gradients of perpendicular lines?

• The gradients of perpendicular lines are equal to each other.

• The gradients of perpendicular lines are negative reciprocals of each other.

• The gradients of perpendicular lines are always positive.

• The gradients of perpendicular lines add up to zero.

Define the gradient of a straight line.

• The gradient of a straight line is the distance between two points on the line.

• The gradient of a straight line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

• The gradient of a straight line is the angle it makes with the x-axis.

• The gradient of a straight line is the length of the line segment divided by its height.

How do you graph a linear equation?

• Plot the y-intercept on the y-axis, then use the gradient to find another point, and draw a straight line through the points.

• Start by drawing a circle around the y-intercept and then connect it to the x-axis.

• Use a ruler to measure the distance between points and draw a curve through them.

• Identify the slope and plot points randomly on the graph.

How can you determine if two lines are parallel using their gradients?

• Two lines are parallel if they have the same gradient (slope).

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

• Two lines are parallel if their gradients are negative reciprocals.

• Two lines are parallel if they have different gradients.

What is the general form of a linear equation?

• @@Ax + By + C = 0@@

• @@y = mx + b@@

• @@Ax^2 + By + C = 0@@

• @@y = A(x - h)^2 + k@@

What is the equation of a straight line with a gradient of 0 and a y-intercept of 2?

• @@y = 2@@

• @@y = 0@@

• @@y = 2x@@

• @@y = 2 + x@@