Coordinate Geometry: Equation of a Straight Line

Front

What is the gradient of a line?

Back

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

Front

What is the standard form of the equation of a straight line?

Back

The standard form of the equation of a straight line is y = mx + c, where m is the gradient and c is the y-intercept.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of c in the equation y = mx + c.

Front

How do you calculate the gradient of a line given two points (x1, y1) and (x2, y2)?

Back

The gradient is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the gradient of the line represented by the equation y = 4x - 6?

Back

The gradient of the line is 4.

Front

If a line has a gradient of 0, what does this indicate about the line?

Back

A gradient of 0 indicates that the line is horizontal.

Front

If a line has a negative gradient, what does this indicate about the line's direction?

Back

A negative gradient indicates that the line slopes downwards from left to right.

Front

What is the significance of the 'm' in the equation y = mx + c?

Back

The 'm' represents the gradient of the line, indicating how steep the line is.

Front

What is the significance of the 'c' in the equation y = mx + c?

Back

The 'c' represents the y-intercept, indicating where the line crosses the y-axis.

Front

Can the gradient of a line be calculated using any two points on the line? True or False?

Back

True.