Slope Intercept Form

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

What do the variables 'm' and 'b' represent in the slope-intercept form?

Back

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

Front

How do you identify the slope from the equation y = -2/3x + 2?

Back

The slope is -2/3.

Front

What is the y-intercept of the equation y = -2/3x + 2?

Back

The y-intercept is the point (0, 2).

Front

How do you calculate the slope using a graph?

Back

Slope is calculated as rise over run.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

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

Back

The slope is calculated using the formula (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

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