Writing Equations of Lines (Point-Slope Form)

Front

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

Back

y - y₁ = m(x - x₁)

Front

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

Back

The slope of the line.

Front

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

Back

A specific point on the line.

Front

How do you identify a positive slope?

Back

A positive slope rises from left to right.

Front

How do you identify a negative slope?

Back

A negative slope falls from left to right.

Front

What is the slope of a horizontal line?

Back

Zero slope.

Front

What is the slope of a vertical line?

Back

Undefined slope.

Front

Convert the equation y - 2 = 3/5(x - 5) to slope-intercept form.

Back

y = 3/5x - 1.

Front

If a line has a slope of 3, what is the angle of inclination?

Back

The angle of inclination is approximately 71.57 degrees.

Front

Write the equation of a line with slope -2 passing through the point (3, 4) in point-slope form.

Back

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