Point Slope Form: Check-Up (Algebra)

Front

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

Back

y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

Given the equation y + 1 = -3(x - 5), what is the slope?

Back

-3

Front

For the equation y - 3 = 2(x + 4), what is the slope?

Back

2

Front

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

Back

It is a specific point that the line passes through.

Front

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

Back

Solve for y to get it in the form y = mx + b.

Front

What is the equation in point-slope form for a line with slope -3 passing through (6, 1)?

Back

y - 1 = -3(x - 6)