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 the formula: 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). Substitute the values of x₁, y₁, and m into the formula.

Front

Given the point (4, -7) and slope -1/4, write the equation in point-slope form.

Back

y + 7 = -1/4(x - 4)

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 and the direction it goes (positive or negative).

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

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

Back

The slope of the line is -3.

Front

How do you identify a positive slope from a graph?

Back

A positive slope means that as x increases, y also increases. The line rises from left to right.

Front

How do you identify a negative slope from a graph?

Back

A negative slope means that as x increases, y decreases. The line falls from left to right.

Front

What is the point-slope form of the line that passes through (-2, -1) with a slope of -3?

Back

y + 1 = -3(x + 2)

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 in the point-slope form.