Writing Parallel and Perpendicular Equations

Front

What is the slope of a line perpendicular to a line with a slope of -3?

Back

The slope of a line perpendicular to a line with a slope of -3 is 1/3.

Tags

CCSS.8.EE.B.6

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of a line parallel to a line with a slope of -2/3?

Back

The slope of a line parallel to a line with a slope of -2/3 is also -2/3.

Tags

CCSS.8.EE.B.5

Front

Write the equation of a line with a slope of 1/2 passing through the point (2, 3).

Back

y = 1/2x + 2.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you convert the equation y = mx + b to standard form?

Back

Rearrange it to Ax + By = C, where A, B, and C are integers.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

Determine the equation of a line parallel to y = 3x + 1 passing through (4, 2).

Back

y = 3x - 10.

Front

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

Back

The slope-intercept form is 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

Write the equation of a line perpendicular to y = 2x - 5 passing through (1, 1).

Back

y = -1/2x + 3/2.