Point Slope form

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you write the equation of a line in point-slope form given a point (x₁, y₁) and slope m?

Back

Use the formula: y - y₁ = m(x - x₁) where (x₁, y₁) is the point and m is the slope.

Front

What does the variable 'm' represent in the point-slope form?

Back

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

Front

What does the variable (x₁, y₁) represent in the point-slope form?

Back

The variable (x₁, y₁) represents a specific point on the line.

Front

How can you convert point-slope form to slope-intercept form?

Back

Isolate y in the equation y - y₁ = m(x - x₁) to get y = mx + b.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 2 and passes through the point (1, 3), what is its point-slope form?

Back

y - 3 = 2(x - 1)