equation of a straight line

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 + b, where m is the gradient (slope) and b is the y-intercept.

Front

How do you determine the gradient of a line from its equation?

Back

The gradient (slope) of a line can be determined from its equation in the form y = mx + b, where m represents the gradient.

Front

What does the y-intercept represent in the equation of a line?

Back

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

Front

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

Back

A line with a gradient of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What is the equation of a line with a gradient of 4 and a y-intercept of 0?

Back

The equation of the line is y = 4x.

Front

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

Back

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

Front

How do you write the equation of a line given its gradient and y-intercept?

Back

To write the equation of a line given its gradient (m) and y-intercept (b), use the formula y = mx + b.

Front

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

Back

The equation of the line is y = 2x - 5.

Front

What is the equation of a line with a gradient of 3/4 and a y-intercept of -1/2?

Back

The equation of the line is y = (3/4)x - (1/2).

Front

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

Back

The equation of the line is y = 2.