Writing Linear Equations Practice

Front

What is the definition of slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the value of x increases, the value of y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, showing an inverse relationship.

Front

What does a slope of zero mean in a linear equation?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in x as y changes.

Front

What is 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 y when x = 0.

Front

Write 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 from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 4?

Back

The equation is y = 3x + 4.