Slope Intercept vs Standard (Basic)

Front

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

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you identify the slope from the equation y = 4x - 2?

Back

The slope is the coefficient of x, which is 4.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you convert the equation 4x + y = 8 to slope-intercept form?

Back

To convert, solve for y: y = -4x + 8.

Front

What information does the equation y = 4x + 2 provide about the graph?

Back

It provides the slope (4) and the y-intercept (2).

Front

What is the x-intercept of the equation 4x + y = 8?

Back

To find the x-intercept, set y = 0: 4x = 8, so x = 2.

Front

Is the equation 2x + 5y = 10 in slope-intercept form or standard form?

Back

It is in standard form.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness of the line and the direction it moves (rise over run).

Front

How do you find the y-intercept from the equation 4x + y = 8?

Back

Set x = 0: y = 8, so the y-intercept is 8.