Point Slope Form

Front

What is Point-Slope Form?

Back

Point-Slope Form is an equation of a line in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you write the equation of a line in Point-Slope Form given a point and a slope?

Back

To write the equation, use the formula y - y1 = m(x - x1) by substituting the given point (x1, y1) and the slope m.

Front

What is the slope in the equation y - 5 = -3(x - 10)?

Back

The slope (m) in the equation is -3.

Front

Convert the Point-Slope Form equation y + 7 = -1/4(x - 4) to Slope-Intercept Form.

Back

The Slope-Intercept Form is y = -1/4x - 5.

Front

What does a negative slope indicate about a line?

Back

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

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal and does not rise or fall.

Front

What is the significance of the point (10, 5) in the equation y - 5 = -3(x - 10)?

Back

The point (10, 5) is a specific point on the line represented by the equation.

Front

How can you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line.

Front

What is the Slope-Intercept Form of the line represented by y + 5 = -3(x - 6)?

Back

The Slope-Intercept Form is y = -3x + 13.

Front

What is the formula to convert from Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y: y - y1 = m(x - x1) becomes y = mx + (y1 - mx1).