Writing Linear Equations

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

How would you write the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

The slope is 5.

Front

What type of line does the equation y = 7 represent?

Back

The equation y = 7 represents a horizontal line.

Front

What type of line does the equation x = -3 represent?

Back

The equation x = -3 represents a vertical line.

Front

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

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.