Equation of a straight line

Front

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

Back

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

Front

What does the gradient (m) represent in the equation of a straight line?

Back

The gradient represents the slope of the line, indicating how steep it is.

Front

How do you find the y-intercept (c) from the equation of a straight line?

Back

The y-intercept is the value of y when x = 0.

Front

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

Back

The gradient is 2.

Front

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

Back

The y-intercept is 2.

Front

If a line has a gradient of ½, what does this indicate about its steepness?

Back

The line rises 1 unit for every 2 units it moves horizontally, indicating a gentle slope.

Front

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

Back

y = -2x + 3.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same gradient (m) but different y-intercepts (c).

Front

What is the relationship between the gradients of perpendicular lines?

Back

The product of the gradients of two perpendicular lines is -1.

Front

What is the equation of a line that passes through the point (0, -3) and has a gradient of 2?

Back

y = 2x - 3.