Convert slope-intercept from standard form

Front

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

Back

The slope-intercept form 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 y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you convert the equation y = mx + b to standard form Ax + By = C?

Back

To convert to standard form, rearrange the equation to get all terms involving x and y on one side and the constant on the other.

Front

What is the first step in converting y = ½x + 10 to standard form?

Back

The first step is to subtract ½x from both sides.

Front

What is the second step in converting y = ½x + 10 to standard form after subtracting ½x?

Back

The second step is to multiply the entire equation by -2 to eliminate the fraction.

Front

What is standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the relationship between slope and the steepness of a line?

Back

The slope indicates the steepness of a line; a larger absolute value of the slope means a steeper line.

Front

How can you identify the slope from a graph?

Back

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

Front

What does it mean if the slope is negative?

Back

A negative slope indicates that the line is decreasing from left to right.