Writing Equations of a Line

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 of a line given 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 line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

Write the equation of a line with slope 2 that passes through the point (1, 3).

Back

y = 2x + 1.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope is -1/2.