STANDARD FORM to SLOPE INTERCEPT 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 identify the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the constant b in the equation y = mx + b.

Front

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

Back

Subtract 4x from both sides to isolate the y-term.

Front

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

Back

Divide everything by 2 to solve for y, resulting in y = -2x + 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 is the y-intercept of the equation y = -2x + 6?

Back

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

Front

How do you find the slope from the standard form equation Ax + By = C?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope m.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the graph crosses the x-axis, found by setting y = 0 and solving for x.

Front

Convert the standard form equation 6x + 12y = 48 to slope-intercept form.

Back

Divide the entire equation by 12 to get y = -rac{1}{2}x + 4.

Front

What is the general process for converting standard form to slope-intercept form?

Back

1. Isolate the y-term. 2. Solve for y to express the equation in the form y = mx + b.