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: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert a point and slope into point-slope form?

Back

To convert a point (x_1, y_1) and slope m into point-slope form, use the formula: y - y_1 = m(x - x_1).

Front

Given the point (-2, -1) and slope m = -3, write the equation in point-slope form.

Back

The equation is: y + 1 = -3(x + 2).

Front

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

Back

The slope (m) is 2.

Front

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

Back

The equation is: y + 5 = 3(x - 1).

Front

What does the slope represent in a linear equation?

Back

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

Front

How can you determine if a point lies on a line given in point-slope form?

Back

Substitute the x-coordinate of the point into the equation and check if the resulting y-value matches the y-coordinate of the point.

Front

What is the significance of the point (x_1, y_1) in the point-slope form?

Back

The point (x_1, y_1) is a specific point through which the line passes.

Front

If the equation of a line is y + 1 = -3(x - 5), what is the slope?

Back

The slope (m) is -3.

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).