Point-slope form and slope-intercept form

Front

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

Back

The point-slope form is given by the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the 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 from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What does the slope of a line represent?

Back

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

Front

Back

Front

Back

Front

Back

The y-intercept is 4.

Front

Write the equation in point-slope form for a line with slope -1/4 passing through (4, -7).

Back

Front

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

Back

The slope is -2.

Front

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

Back

To convert, solve for y in the point-slope equation: y - y_1 = m(x - x_1).