Algebra Chapter 5 Review

Front

What is the Point-Slope form of a linear equation?

Back

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

Front

How do you find the equation of a line parallel to a given line?

Back

To find a parallel line, use the same slope as the given line and apply the point-slope form with the new point.

Front

What does it mean for a line to be a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

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 convert from Point-Slope form to Slope-Intercept form?

Back

To convert, solve for y in the Point-Slope equation: y - y_1 = m(x - x_1) to get y = mx + b.

Front

What is the slope of a line that is parallel to the line y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

What is the slope of a line that is perpendicular to the line y = 3x - 4?

Back

The slope of a line perpendicular to y = 3x - 4 is -1/3 (the negative reciprocal of 3).

Front

How do you determine the y-intercept from the equation y = 4x - 5?

Back

The y-intercept is the value of y when x = 0. For y = 4x - 5, the y-intercept is -5.

Front

What is the equation of a line that passes through the point (1, 2) with a slope of 3?

Back

Using Point-Slope form: y - 2 = 3(x - 1) or y = 3x - 1.

Front

What does the term 'slope' represent in a linear equation?

Back

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