Point-Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to find the equation of a line given a point (x₁, y₁) and a slope (m). It is expressed as: y - y₁ = m(x - x₁).

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y₁ = m(x - x₁)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the point (2, 5) and slope m = 1/2, what is the equation in Slope-Intercept Form?

Back

y = 1/2x + 4.

Front

Given the point (-1, 4) and slope m = -3, what is the equation in Slope-Intercept Form?

Back

y = -3x + 1.

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

Back

The slope is m = ( -4 - (-1) ) / (2 - 3) = -3.

Front

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

Back

y = 3x - 10.

Front

What does the ordered pair represent in the equation y - 3 = 2(x + 4)?

Back

The ordered pair (-4, 3) is a point on the line represented by the equation.

Front

How do you write the equation of a line in Point-Slope Form?

Back

Use the formula y - y₁ = m(x - x₁) with a given point (x₁, y₁) and slope m.