Graph and Write Equations of Lines

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

Back

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

Front

How can you find the y-intercept from the slope-intercept form of a line?

Back

Front

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

Back

Front

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

Back

Front

How do you graph a line given its equation?

Back

To graph a line, start by plotting the y-intercept on the y-axis. Then use the slope to find another point on the line by moving up/down and left/right from the y-intercept.

Front

What is the significance of the slope in real-world contexts?

Back

The slope can represent rates of change, such as speed in a distance-time graph or cost per item in a cost graph.