4.5 Standard to Slope-Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

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

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

Front

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

Back

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

Front

How can you find the slope from a linear equation in standard form?

Back

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

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope of the line represented by the equation 12x - 6y = 30 is 2.

Front

What is the slope of the line represented by the equation y = 4 - 6x?

Back

The slope of the line represented by the equation y = 4 - 6x is -6.

Front

How do you identify the form of a linear equation?

Back

To identify the form of a linear equation, look for the arrangement of variables and constants: standard form (Ax + By = C) or slope-intercept form (y = mx + b).

Front

What is the relationship between the coefficients in standard form and the slope?

Back

In standard form (Ax + By = C), the slope can be calculated as -A/B.