Point-Slope Formula

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

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

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

Back

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

Front

Given the point (1, 5) and slope m = 3, write the equation in slope-intercept form.

Back

The equation is y = 3x + 2.

Front

What is the ordered pair for the equation y - 3 = 2(x + 4)?

Back

The ordered pair is (-4, 3).

Front

What does the variable 'm' represent in the equation y = mx + b?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y = mx + b?

Back

The variable 'b' represents the y-intercept of the line.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation y - y₁ = m(x - x₁) to get y = mx + (y₁ + m(-x₁)).

Front

What is the slope of the line that passes through the points (3, -1) and (2, -4)?

Back

The slope is m = (y₂ - y₁) / (x₂ - x₁) = (-4 - (-1)) / (2 - 3) = -3.

Front

What is the equation of the line that goes through the points (3, -1) and (2, -4)?

Back

The equation is y = 3x - 10.