Algebra Topic 2 Test Review

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 (x_1, y_1) is a point on the line and m is the slope.

Front

How do you determine if two lines are parallel?

Back

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

Tags

CCSS.8.EE.B.6

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope of the line is represented by the coefficient m in the equation y = mx + b.

Tags

CCSS.8.EE.B.5

Front

How do 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 y = mx + b, solve for y in terms of x.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the slope of the line given by the equation 2x + y = 5?

Back

To find the slope, rewrite the equation in slope-intercept form: y = -2x + 5. The slope is -2.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and do not satisfy the condition for perpendicularity (the product of their slopes is not -1).

Tags

CCSS.8.EE.B.5

Front

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

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and a point through which the new line passes.

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 equation y = mx + b.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you write a point-slope equation from a given point and slope?

Back

Use the formula y - y_1 = m(x - x_1), substituting the given point (x_1, y_1) and slope m.