Standard Form to Slope Intercept Form FLASHCARD

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

How do you find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What does the slope represent in a linear equation?

Back

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

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 as (0, b) in the equation y = mx + b.

Front

Convert the equation 3x + 2y = 6 to slope-intercept form.

Back

y = -3/2x + 3.

Front

What is the first step to convert 5x + 3y = 15 into slope-intercept form?

Back

Subtract 5x from each side.

Front

Determine the slope and y-intercept from the equation 2x - 4y = 8.

Back

Slope: 1/2, y-intercept: (0, -2).

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.