Point-Slope and Slope Intercept Form Practice

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

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

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

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

Given a slope of 2 and a point (3, 4), write the equation in point-slope form.

Back

y - 4 = 2(x - 3).

Front

What does the slope of a line represent?

Back

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

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right, meaning for every unit increase in x, y decreases by 1 unit.

Front

How can you find the slope from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) can be calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What is the y-intercept of a line?

Back

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

Front

Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -2.

Back

y = 3x - 2.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m).