Slope Intercept with tables, graphs, equations, & word problems

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, represented as 'm' in the slope-intercept form of a linear equation, which is defined as the change in y over the change in x (rise over run).

Front

What does a positive slope indicate about a line?

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 about a line?

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 slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the letter 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, indicating that there is no change in x as y changes.

Front

Write the equation in slope-intercept form for a line with a slope of -3 and a y-intercept of 5.

Back

The equation is y = -3x + 5.