Coordinate Geometry: Equation of a Straight Line

Front

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

Back

y = mx + c, where m is the gradient and c is the y-intercept.

Front

What does 'm' represent in the equation of a straight line?

Back

'm' represents the gradient (slope) of the line.

Front

What does 'c' represent in the equation of a straight line?

Back

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

Front

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

Back

Gradient (m) = (y2 - y1) / (x2 - x1).

Front

What is the gradient of the line represented by the equation y = -2x + 1?

Back

The gradient is -2.

Front

What is the y-intercept of the line represented by the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

True or False: The gradient of a line can be found using any two points on the line.

Back

True.

Front

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

Back

The line is horizontal.

Front

If a line has an undefined gradient, what does this indicate about the line?

Back

The line is vertical.

Front

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

Back

y = 2x + 3.