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 convert point-slope form to slope-intercept form?

Back

Isolate y to get y = mx + b.

Front

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

Back

-3

Front

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

Back

(-4, 3)

Front

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

Back

y = mx + b

Front

How can you identify the slope from the equation y - 3 = 2(x + 4)?

Back

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

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form by solving for y.

Front

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

Back

y + 4 = 2(x - 3)