Standard Form 2024 edited

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

How do you write an equation in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Identify the standard form of the equation: 3x + 4y = 12.

Back

This equation is in standard form.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the formula for writing an equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

What is the difference between standard form and slope-intercept form?

Back

Standard form is Ax + By = C, while slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you convert from slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

What does it mean for an equation to be linear?

Back

A linear equation represents a straight line when graphed, and it has a constant rate of change.