Writing Linear Equations 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 find 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 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 y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line passing through them?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the equation of a line with a slope of 3 that passes through the point (0, -1)?

Back

The equation is y = 3x - 1.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the significance of a negative slope?

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that y remains constant regardless of x.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is of the form x = a, where a is a constant.