Point Slope Form

Front

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

Back

The point-slope form 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 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

How do you identify the slope from the point-slope form equation y - y1 = m(x - x1)?

Back

The slope m is the coefficient of (x - x1) in the equation.

Front

Given the equation y - 3 = 2(x + 4), what is the slope?

Back

The slope is 2.

Front

For the equation y - 3 = 2(x + 4), what point does the line pass through?

Back

The line passes through the point (-4, 3).

Front

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

Back

To convert, solve for y: y = mx + (y1 - mx1).

Front

Write the point-slope form for a line with slope 1 that passes through the point (2, -3).

Back

y + 3 = 1(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 used to define the line's position.

Front

If a line has a slope of -3 and passes through the point (5, -1), what is the point-slope form?

Back

y + 1 = -3(x - 5).

Front

For the equation y - 4 = -1/3(x - 7), what are the coordinates of the point used?

Back

The coordinates are (7, 4).