Coordinate Geometry: Equation of a Straight Line

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

To find the y-intercept from the equation y = mx + c, set x = 0. The value of y at this point is the y-intercept.

Front

What does a negative gradient indicate about a line?

Back

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

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + c?

Back

In the equation y = mx + c, 'm' represents the slope of the line, indicating its steepness and direction.

Front

What does 'c' represent in the equation y = mx + c?

Back

In the equation y = mx + c, 'c' represents the y-intercept, the point where the line crosses the y-axis.

Front

How can you determine the slope of a line from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope of the line is 3/2.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as x changes.

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of the value of y.