12/5 (8A) Slope, Equations and other stuff

Front

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

Back

The point-slope form of a linear equation is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

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

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope of a line represent?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

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

Back

The slope (m) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

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

Back

The slope-intercept form of a linear equation is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if two variables have a positive relationship?

Back

A positive relationship means that as one variable increases, the other variable also increases.

Front

How do you solve the inequality -4x - 3 < -19?

Back

To solve, first add 3 to both sides: -4x < -16. Then divide by -4 (remember to flip the inequality): x > 4.

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables, with points representing individual data points.

Front

What does it mean if a scatterplot shows a negative relationship?

Back

A negative relationship means that as one variable increases, the other variable decreases.