Unit 5 Test Review - Various Forms-Linear Inequalities

Front

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

Back

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

Front

How do you determine the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a solid boundary line indicate in a linear inequality?

Back

A solid boundary line indicates that the inequality includes the boundary, meaning it uses ≤ or ≥.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).

Front

How do you graph the inequality x - 2y > 6?

Back

To graph the inequality, first graph the line x - 2y = 6 as a dashed line, then shade the region above the line.

Front

What is the first step in writing the equation of a line given a point and a slope?

Back

The first step is to use the point-slope form of the equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Front

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

Back

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

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What is the significance of the y-intercept 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 y = mx + b.

Front

What does the term 'linear inequality' refer to?

Back

A linear inequality is an inequality that involves a linear expression, which can be graphed as a region on a coordinate plane.