Slope & Graphing Linear Equations

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation 4x + 2y = -12 to slope-intercept form.

Back

The slope-intercept form is y = -2x - 6.

Front

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

Back

The slope is 3.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation y = -rac{1}{2}x + 5?

Back

The y-intercept is 5.

Front

How do you determine if two lines are parallel?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.