Slope Intercept to Standard 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

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

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get Ax + By = C, where A, B, and C are integers.

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

Convert the equation y = 2x + 3 to standard form.

Back

The standard form is -2x + y = 3 or 2x - y = -3.

Front

Convert the equation y = -4x + 5 to standard form.

Back

The standard form is 4x + y = 5.

Front

Convert the equation y = rac{1}{2}x - 3 to standard form.

Back

The standard form is -x + 2y = 6.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Convert the equation y = -x - 5 to standard form.

Back

The standard form is x + y = -5.

Front

Convert the equation y = 3x + 2 to standard form.

Back

The standard form is -3x + y = 2.