Standard form of a line review

Front

What is the standard form of a line?

Back

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

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is represented as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation y = 1/2x + 2 to standard form?

Back

Multiply through by 2 to eliminate the fraction: 2y = x + 4, then rearrange to standard form: -x + 2y = 4.

Front

Which equation is in standard form? y = 1/2x + 2, y - 3 = -5(x + 2), -7x + 2y = 9, 3x + 2 = y

Back

-7x + 2y = 9 is in standard form.

Front

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

Back

In the equation y = mx + b, 'x' represents the independent variable or the input value.

Front

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

Back

In the equation y = mx + b, 'y' represents the dependent variable or the output value.

Front

What is the meaning of 'm' in the slope-intercept form?

Back

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

Front

What is the meaning of 'b' in the slope-intercept form?

Back

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

Front

How do you identify the slope from the equation 3x + 2y = 6?

Back

Rearrange to slope-intercept form: 2y = -3x + 6, then y = -3/2x + 3. The slope is -3/2.

Front

What is the first step to convert Ax + By = C to slope-intercept form?

Back

Isolate y by moving Ax to the other side: By = -Ax + C.