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

Convert the equation y + 5 = -3(x - 6) to slope-intercept form.

Back

y = -3x + 13.

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

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

Back

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

Front

Identify the slope from the equation y + 1 = -3(x - 5).

Back

The slope is -3.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2).

Front

What is the y-intercept in the equation y = -3x + 13?

Back

The y-intercept is 13.

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 significance of the point (x₁, y₁) in the point-slope form?

Back

The point (x₁, y₁) is a specific point on the line used to define the line's equation.