Practice 12-04-24

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the equation of a line that is parallel to y = 5x - 3 and passes through (0, 4)?

Back

The equation is y = 5x + 4.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

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

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 write the equation of a line parallel to y = -1/2x + 3 that passes through (4, -1)?

Back

The equation is y + 1 = -1/2(x - 4).

Front

What is the y-intercept of the equation y = 3x + 9?

Back

The y-intercept is 9, which is the value of y when x = 0.

Front

How can you determine the equation of a line from a table of values?

Back

Identify the slope (change in y/change in x) and use a point to write the equation in slope-intercept form.