Point Slope Practice

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) 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 (x₁, y₁) and slope m into point-slope form, use the formula y - y₁ = m(x - x₁).

Front

Given the point (4, -7) and slope -1/4, what is the point-slope form of the line?

Back

The point-slope form is y + 7 = -1/4(x - 4).

Front

What ordered pair does the equation y - 3 = 2(x + 4) pass through?

Back

The ordered pair is (-4, 3).

Front

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

Back

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

Front

What is the slope in the equation y - 4 = -3/5(x - 4)?

Back

The slope is -3/5.

Front

How can you determine if an equation is in point-slope form?

Back

An equation is in point-slope form if it follows the structure y - y₁ = m(x - x₁).

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

If a line has a slope of 2 and passes through the point (1, 3), what is its point-slope form?

Back

The point-slope form is y - 3 = 2(x - 1).

Front

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

Back

The point (x₁, y₁) is a specific point on the line that the equation describes.