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 convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Front

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

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive or negative).

Front

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

Back

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

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, and it is used in the point-slope form to anchor the equation to that location.

Front

How can you identify the slope from a point-slope equation?

Back

In the point-slope form equation y - y1 = m(x - x1), the slope (m) is the coefficient of (x - x1).

Front

What is the relationship between point-slope form and standard form?

Back

Point-slope form (y - y1 = m(x - x1)) can be converted to standard form (Ax + By = C) by rearranging the equation.

Front

What is the first step to write an equation in point-slope form given a point and a slope?

Back

The first step is to substitute the given point (x1, y1) and the slope (m) into the point-slope formula: y - y1 = m(x - x1).

Front

How do you write the equation of a line in point-slope form if given two points?

Back

First, calculate the slope (m) using the two points, then use one of the points in the point-slope formula: y - y1 = m(x - x1).

Front

What is the point-slope form of the line that passes through (2, 3) with a slope of 4?

Back

The point-slope form is: y - 3 = 4(x - 2).