STANDARD FORM to SLOPE INTERCEPT FORM

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert 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 in terms of x.

Front

What does the slope-intercept form represent?

Back

The slope-intercept form, y = mx + b, represents a linear equation where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 2x - 10?

Back

The slope (m) in the equation y = 2x - 10 is 2.

Front

What is the y-intercept in the equation y = 2x - 10?

Back

The y-intercept (b) in the equation y = 2x - 10 is -10.

Front

Convert the equation 4x - 2y = 20 to slope-intercept form.

Back

The slope-intercept form is y = 2x - 10.

Front

What is the first step to convert 4x + 2y = 12 to slope-intercept form?

Back

The first step is to subtract 4x from both sides, resulting in 2y = -4x + 12.

Front

What is the second step after obtaining 2y = -4x + 12?

Back

The second step is to divide everything by 2, resulting in y = -2x + 6.

Front

What is the y-intercept of the equation y = -2x + 6?

Back

The y-intercept is 6, which is the point where the graph crosses the y-axis.

Front

What is the slope of the equation y = -rac{1}{2}x + 4?

Back

The slope is -rac{1}{2}.