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

Back

y + 1 = -3(x + 2) is the equation in point-slope form.

Front

What are the coordinates of the point on the line represented by y - 4 = -1/3(x - 7)?

Back

The coordinates are (7, 4).

Front

Which of the following represents point-slope form? y - y₁ = m(x - x₁), Ax + By = C, y = mx + b, y = kx

Back

y - y₁ = m(x - x₁) represents point-slope form.

Front

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

Back

The equation is y = 5x + 2.

Front

What does the slope (m) represent in the point-slope form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How can you find the slope from two points (x₁, y₁) and (x₂, y₂)?

Back

The slope m can be calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

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, which is used to anchor the equation.

Front

How do you identify the slope from the equation y - 4 = -1/3(x - 7)?

Back

The slope is the coefficient of (x - x₁), which is -1/3 in this case.