Slope / Slope intercept / Point slope

Front

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

Back

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

Front

How do you determine the slope of a line from its equation in slope-intercept form?

Back

The slope of a line in slope-intercept form (y = mx + b) is represented by the coefficient m.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

How can you convert a point-slope equation to slope-intercept form?

Back

To convert a point-slope equation (y - y1 = m(x - x1)) to slope-intercept form, solve for y to get y = mx + (y1 - mx1).

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 by the value b in the slope-intercept form.

Front

If a line has a slope of -3, what does this tell you about its steepness and direction?

Back

A slope of -3 indicates that the line is steep and falls from left to right.