Sections 4.1-4.3 Review

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept 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 slope-intercept form.

Front

Write the equation of a line with slope 3 that passes through the point (1, 2) in point-slope form.

Back

y - 2 = 3(x - 1).

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 do you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.