Unit 2 Review

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 a point-slope form equation to slope-intercept form?

Back

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

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

What is the significance of a solid line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set, typically when the inequality includes 'or equal to'.

Front

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

Back

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

Front

How can you determine if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is part of the solution set.

Front

What does the y-intercept represent in a linear equation?

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

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the term 'solution set' refer to?

Back

The solution set is the set of all values that satisfy a given equation or inequality.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.