Point-Slope Form of Linear Equations

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

Front

Back

The slope is -1.

Front

Back

y = -3x + 13.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Back

The y-intercept is 3.

Front

How do you find the slope from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = (y_2 - y_1) / (x_2 - x_1).

Front

What is the point-slope form equation of the line passing through (2, -2) with a slope of 3?

Back

y + 2 = 3(x - 2).

Front

Back

y = 9x + 11.

Front

Back

The slope is -1/3.