Slope to Standard Form

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 the equation of a line in standard form?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you convert the equation 2y + 5x = 12 to slope-intercept form?

Back

Rearranging gives y = -5/2x + 6, so the slope is -5/2.

Front

What is the slope of the line represented by the equation 6x - 8y = 16?

Back

The slope is 3/4 after converting to slope-intercept form.

Front

Find the slope of the line given by the equation 4x + 3y = -12.

Back

The slope is -4/3 after rearranging to slope-intercept form.

Front

Identify the slope for the equation 3x + 4y = 16.

Back

The slope is -3/4 after converting to slope-intercept form.