Coordinate Geometry: Equation of a Straight Line

Front

What is the equation of a straight line in slope-intercept form?

Back

The equation of a straight line in slope-intercept form is y = mx + c, where m is the slope 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, indicating how steep the line is.

Front

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

Back

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

Front

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

Back

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

Front

What is the gradient of the line represented by the equation y = 2x - 3?

Back

The gradient of the line is 2.

Front

What is the gradient of the line represented by the equation y = -2x + 4?

Back

The gradient of the line is -2.

Front

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

Back

True.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

If a line has a gradient of 1, what does this indicate about its slope?

Back

A gradient of 1 indicates that for every unit increase in x, y increases by 1 unit, resulting in a 45-degree angle with the x-axis.

Front

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

Back

The equation of the line is y = -3x + 2.