Point-Slope Form

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

How do you identify the slope from the point-slope form equation y + 1 = -3(x - 5)?

Back

The slope (m) is -3.

Front

What is the first step to graph the equation y - 2 = 1/3(x - 3)?

Back

Plot the point (3, 2) on the graph.

Front

After plotting the point (3, 2), how do you use the slope to graph the line?

Back

From (3, 2), move up 1 unit and right 3 units to find the next point.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The slope (m) is -4.

Front

What does it mean if the slope is negative?

Back

It means that as x increases, y decreases.

Front

How can you verify if a point lies on the line represented by a point-slope equation?

Back

Substitute the x and y values of the point into the equation and check if it holds true.

Front

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

Back

It is a specific point on the line that the equation passes through.

Front

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

Back

Rearrange the equation to solve for y: y = mx + b.