Standard form/slope-intercept 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

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

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

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

How can you convert the equation 12x - 6y = 30 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 6y = 12x - 30, then y = 2x - 5.

Front

What is the x-intercept of the equation 2x + 4y = 16?

Back

To find the x-intercept, set y = 0: 2x = 16, so x = 8.

Front

What is the process to graph a linear equation?

Back

1. Find the x-intercept and y-intercept. 2. Plot these points on the graph. 3. Draw a line through the points.

Front

What does the slope of 4/5 represent in a graph?

Back

A slope of 4/5 means that for every 5 units you move to the right, you move up 4 units.

Front

How do you determine if a slope is positive or negative?

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.