Acc Slope Intercept 2024

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What does a vertical line equation look like?

Back

A vertical line is represented by an equation of the form x = a, where 'a' is a constant.

Front

What does a horizontal line equation look like?

Back

A horizontal line is represented by an equation of the form y = b, where 'b' is a constant.

Front

How do you write the equation of a line given two points?

Back

To write the equation of a line given two points, first calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Then use the point-slope form: y - y1 = m(x - x1) and rearrange to slope-intercept form.

Front

What is the y-intercept of a line?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

How can you determine if a line is vertical or horizontal from its equation?

Back

If the equation is of the form x = a, the line is vertical. If the equation is of the form y = b, the line is horizontal.