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 identify the slope from the point-slope form?

Back

In the point-slope form y - y₁ = m(x - x₁), the slope m is the coefficient of (x - x₁).

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

Convert the point-slope form to slope-intercept form: y - 2 = 3(x - 1).

Back

y = 3x - 1.

Front

If a line has a slope of -2 and passes through the point (3, 4), what is its equation in point-slope form?

Back

y - 4 = -2(x - 3).

Front

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

Back

The slope is -3.

Front

Write the equation in point-slope form for a line with slope 1/2 passing through (2, 3).

Back

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

Front

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

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the equation of a line in point-slope form that passes through (0, 0) with a slope of 4?

Back

y = 4x.

Front

If the equation of a line is y - 5 = 3(x + 2), what is the slope?

Back

The slope is 3.