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

How do you identify the slope from the equation y + 1 = -3(x - 5)?

Back

The slope (m) is the coefficient of (x - x₁). In this case, m = -3.

Front

Convert the point (5, -1) and slope -3 into point-slope form.

Back

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

Front

What does the variable 'm' represent in the point-slope form?

Back

The variable 'm' represents the slope of the line.

Front

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

Back

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

Front

Write the point-slope form for a line with slope -1/4 that passes through (4, -7).

Back

The equation is y + 7 = -1/4(x - 4).

Front

What is the slope of the line represented by the equation y + 5 = 3(x - 1)?

Back

The slope (m) is 3.

Front

How do you derive the point-slope form from a slope and a point?

Back

Use the formula y - y₁ = m(x - x₁) where (x₁, y₁) is the point and m is the slope.

Front

What is the significance of the point (1, -5) in the equation y + 5 = 3(x - 1)?

Back

It is a point through which the line passes.

Front

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

Back

Ax + By = C is NOT a point-slope form.