Slope intercept form from a graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form (y = mx + b).

Front

If a line has a slope of 1/2, what does this indicate about its steepness?

Back

A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit vertically. This means the line is relatively gentle.

Front

What does a negative slope indicate about a line?

Back

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

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide the rise by the run.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

In the equation y = 6x + 10, what does 10 represent?

Back

10 represents the y-intercept of the line.

Front

If a line has a slope of -2, what does this mean in terms of its direction?

Back

A slope of -2 means that for every 1 unit you move horizontally to the right, the line falls 2 units vertically.

Front

What is the formula for slope-intercept form?

Back

The formula for slope-intercept form is y = mx + b.