Slope Intercept Form Part 1

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 identify the slope from a graph?

Back

The slope can be identified as the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined angle of inclination.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

To write the equation, use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 7/5, what does this mean in terms of rise and run?

Back

A slope of 7/5 means that for every 5 units you move to the right (run), the line rises 7 units (rise).

Front

What is the y-intercept in the equation y = -5x - 6?

Back

The y-intercept is -6, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

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

Back

If two lines are parallel, they have the same slope.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed, cost per item, or any other ratio of change between two variables.