Slope intercept form

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

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

Front

What does the 'b' represent in the slope-intercept form?

Back

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

Front

How do you determine if a slope is positive or negative from a graph?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

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, indicating the value of y when x is 0.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 3, what does this indicate about the rise and run?

Back

A slope of 3 indicates that for every 1 unit you move to the right (run), the line rises 3 units (rise).

Front

How do you identify the slope from a linear equation in standard form?

Back

To find the slope from a standard form equation Ax + By = C, rearrange it to slope-intercept form (y = mx + b) and identify 'm'.