Slope Intercept to Standard Form

Front

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

Back

The slope-intercept form of a linear equation is given by 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 the equation y = -x + 4?

Back

The standard form is x + y = 4.

Front

What does the 'A' represent in the standard form of a linear equation?

Back

In the standard form Ax + By = C, 'A' represents the coefficient of x and should be a non-negative integer.

Front

What is the standard form of the equation y = x + 6?

Back

The standard form is x - y = -6.

Front

How do you identify the slope from the slope-intercept form?

Back

The slope is the coefficient of x in the slope-intercept form y = mx + b.

Front

What is the standard form of the equation y = -9x + 10?

Back

The standard form is 9x + y = 10.

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, represented by the value of b in the slope-intercept form y = mx + b.

Front

What is the standard form of the equation y = (2/3)x + 4?

Back

The standard form is 2x - 3y = -12.

Front

How do you convert the equation y = -8x - 12 to standard form?

Back

Rearranging gives the standard form 8x + y = -12.