Point Slope Form of a Line

Front

What is the point-slope form of a line?

Back

The point-slope form of a line 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

What does the slope (m) represent in the point-slope form?

Back

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

Front

How do you identify a point from the point-slope form equation?

Back

In the equation y - y1 = m(x - x1), the point (x1, y1) is the point through which the line passes.

Front

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

Back

y = 3x - 1.

Front

What is the slope of the line represented by the equation y + 3 = -2(x - 4)?

Back

The slope is -2.

Front

If a line has a slope of 4 and passes through the point (2, 3), what is its point-slope form?

Back

y - 3 = 4(x - 2).

Front

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

Back

It is a specific point on the line that helps define the line's position.

Front

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

Back

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

Front

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

Back

Point-slope form can be converted to slope-intercept form (y = mx + b) by solving for y.

Front

Write the point-slope form of a line with slope -1/2 that passes through the point (6, 5).

Back

y - 5 = -1/2(x - 6).