Writing an Equation from Two Points (TN 8.F.B.4)

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

Given points (2, 2) and (3, 4), what is the slope of the line?

Back

m = (4 - 2) / (3 - 2) = 2.

Front

What is the equation of the line that passes through (0, -5) and (4, 3)?

Back

y = 2x - 5.

Front

How do you find the equation of a line given two points?

Back

1. Calculate the slope using m = (y2 - y1) / (x2 - x1). 2. Use the slope and one point to find the y-intercept (b). 3. Write the equation in the form y = mx + b.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Identify the slope and y-intercept of the equation y = -3x + 5.

Back

Slope: -3, y-intercept: (0, 5).