2.3 Create linear equations from one point, two points, y-int

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you calculate the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Front

What is the slope formula?

Back

Slope (m) = (change in y) / (change in x) = (y₂ - y₁) / (x₂ - x₁)

Front

How do you convert the equation y - y₁ = m(x - x₁) to slope-intercept form?

Back

Rearrange to y = mx + b, where b is the y-intercept.

Front

What is the slope of the line that passes through the points (6, -2) and (3, 7)?

Back

The slope is 3.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How can you find the y-intercept from the slope-intercept form of a linear equation?

Back

In the equation y = mx + b, b is the y-intercept.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.

Front

How do you find the slope given the points (-2, -9) and (-1, -3)?

Back

The slope is -6.

Front

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

Back

The slope-intercept form is y = mx + b.