Writing Equations of Lines

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Tags

CCSS.8.EE.B.6

Front

What is the slope-intercept form of a line?

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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the point-slope form y - y1 = m(x - x1) to slope-intercept form.

Back

Rearranging gives y = mx - mx1 + y1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line with slope 3 that passes through the point (2, 5)?

Back

Using point-slope form: y - 5 = 3(x - 2) simplifies to y = 3x - 1.

Front

Identify the slope of the line represented by the equation y + 2 = 4(x - 1).

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y - 1 = -2(x + 3)?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6