Writing Equations in Point Slope Form Practice

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

If a line has a slope of -3 and passes through the point (2, 4), what is the point-slope form of the equation?

Back

y - 4 = -3(x - 2)

Front

How do you identify the slope from the equation y - 1 = 2(x - 5)?

Back

The slope is the coefficient of (x - x₁), which is 2.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

-3

Front

Write the equation of the line in point-slope form that goes through the point (0, 0) with a slope of 1.

Back

y - 0 = 1(x - 0) or y = x.

Front

For the equation y - 1 = 3(x - 5), what point does the line pass through?

Back

(5, 1)

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

What is the slope of a vertical line?

Back

Undefined.