Practice Point slope form

Front

What is 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

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 equation y - 1 = 4(x + 2)?

Back

The slope is the coefficient of (x - x₁), which in this case is 4.

Front

Which of the following is NOT a form of a linear equation? y = mx + b, Ax + By = C, y - y₁ = m(x - x₁), y = kx

Back

y = kx is not in standard or point-slope form.

Front

Convert the point-slope form y - 2 = 7(x + 1) to slope-intercept form.

Back

The slope-intercept form is y = 7x + 9.

Front

What is the slope of the line represented by the equation y + 1 = -3(x + 2)?

Back

The slope is -3.

Front

Write the point-slope form of a line with slope 2 that passes through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

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 used to define its position.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.