Module 2 Test Practice

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 the equation 5x - 3y = -9 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (5/3)x + 3.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, also known as coinciding lines.

Front

What is the slope of the line represented by the equation y = (5/3)x + 3?

Back

The slope is 5/3.

Front

How do you solve the equation 3x + 2(4x - 4) = 3 for x?

Back

First, simplify: 3x + 8x - 8 = 3, then combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11, then divide by 11: x = 1.

Front

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

Back

The point-slope form is given by 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 identify parallel lines in a system of equations?

Back

Parallel lines have the same slope but different y-intercepts.

Front

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

Back

The y-intercept is -9.

Front

How can you determine if two lines are skew?

Back

Two lines are skew if they are not parallel and do not intersect, typically in three-dimensional space.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves (positive slope goes up, negative slope goes down).