3-4 Flashcard - Equations of Lines

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 the equation of a line?

Back

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

Front

Given the slope of 2 and y-intercept of 3, what is the equation of the line?

Back

y = 2x + 3.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

A line with an undefined slope is a vertical line.

Front

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

Back

Rearrange the equation to solve for y: y = (-A/B)x + (C/B).

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 1?

Back

Using point-slope form: y - 3 = 1(x - 2) simplifies to y = x + 1.

Front

What is the significance of the point (0, b) in the equation y = mx + b?

Back

The point (0, b) is the y-intercept of the line.