Writing Equations from Graphs

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the equation of a line with a slope of 2 and a y-intercept of -1?

Back

The equation of the line is y = 2x - 1.

Front

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

Back

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

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

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

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

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