Point Slope Form

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

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Write the point-slope form for the line that passes through (2, 3) with a slope of 4.

Back

y - 3 = 4(x - 2).

Front

What does the slope of a line represent?

Back

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

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

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Convert the equation y + 2 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 5.

Front

Write the equation in point-slope form for the line that contains the points (1, 2) and (3, 6).

Back

y - 2 = 2(x - 1).

Front

What is the significance of the point (x1, y1) in the point-slope form?

Back

The point (x1, y1) is a specific point on the line used to write the equation in point-slope form.

Front

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

Back

To convert to standard form, rearrange the equation to the form Ax + By = C, where A, B, and C are integers.