4.1b: SIF Given Point and Slope

Front

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

Back

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

Front

How do you find the slope of a line given 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 positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

Given the point (3, 2) and slope 4, write the equation of the line in slope-intercept form.

Back

y = 4x - 10.

Front

Given the point (-1, 4) and slope -3, write the equation of the line in slope-intercept form.

Back

y = -3x - 1.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).