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: 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

What is the slope in the equation y - 1 = 4(x + 2)?

Back

The slope is 4.

Front

Identify the point in the equation y - 2 = 3(x + 1).

Back

The point is (-1, 2).

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.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

Write the point-slope form for the point (-2, -1) with a slope of -3.

Back

y + 1 = -3(x + 2).

Front

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

Back

The point (5, -1) lies on the line represented by the equation.

Front

How do you determine the slope from the equation y - 2 = 7(x + 1)?

Back

The slope is the coefficient of (x), which is 7.

Front

What is the point-slope form of the line that passes through (-1, 2) with a slope of 7?

Back

y - 2 = 7(x + 1).