Point Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y: y = mx - mx1 + y1.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If m = 5, what type of slope does this represent?

Back

A positive slope.

Front

If m = -3, what type of slope does this represent?

Back

A negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Write the Point-Slope Form of the line with slope 2 through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the point (x1, y1) in Point-Slope Form?

Back

It is a specific point through which the line passes.