Writing Equations: Given Two Points on a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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

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

Back

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

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

1. Calculate the slope using the two points. 2. Use one of the points and the slope to write the equation in point-slope form, then convert to slope-intercept form if needed.

Front

What is the equation of the line that goes through the points (2, 9) and (3, 1)?

Back

y = -8x + 25.

Front

Write the equation of the line that passes through the points (3, 3) and (4, -1).

Back

y = -4x + 15.

Front

Write the equation of the line that passes through the points (-2, -1) and (0, 5).

Back

y = 3x + 5.

Front

Write the linear equation that is solved by both (−6, 2) and (0, 4).

Back

y = (1/3)x + 4.