Point-Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you determine the slope from the equation 4x + y = -10?

Back

The slope is -4.

Front

What is the y-intercept of the equation 4x + y = -10?

Back

The y-intercept is (0, -10).

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line.

Front

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

Back

y = mx + b

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

In the equation y - y₁ = m(x - x₁), what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What is the significance of the point (x₁, y₁) in point-slope form?

Back

It is a specific point on the line.

Front

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

Back

Isolate y to get y = mx + b.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope refers to the steepness of the line, calculated as rise over run.