4.1c: SIF Given Two Points

Front

What is the formula to find the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the slope of a line that passes through the points (2, 3) and (5, 11)?

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the y-intercept of the line represented by the equation y = 4x + 2?

Back

The y-intercept is 2.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the equation of a line that is vertical and passes through the point (3, 4)?

Back

The equation is x = 3.

Front

How do you find the equation of a line given its slope and a point on the line?

Back

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

Front

What is the point-slope form of a line's equation?

Back

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

Front

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

Back

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