Slope Intercept to Standard 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 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 isolate the variables on one side.

Front

What does the slope-intercept form of a linear equation look like?

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 is the slope in the equation y = -9x + 10?

Back

The slope (m) in the equation y = -9x + 10 is -9.

Front

What is the y-intercept in the equation y = rac{2}{3}x + 4?

Back

The y-intercept (b) in the equation y = rac{2}{3}x + 4 is 4.

Front

Convert the equation y = 3x + 6 to standard form.

Back

The standard form is -3x + y = 6 or 3x - y = -6.

Front

What is the first step in converting y = -rac{1}{2}x + 3 to standard form?

Back

The first step is to eliminate the fraction by multiplying the entire equation by 2.

Front

If an equation is in standard form, what can you say about the coefficients A and B?

Back

In standard form Ax + By = C, A and B should be integers, and A should be non-negative.

Front

What is the standard form of the equation y = 4?

Back

The standard form is 0x + y = 4.

Front

How do you identify the x-intercept from the standard form Ax + By = C?

Back

To find the x-intercept, set y = 0 and solve for x.