Writing Equations of a Line

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 of a line given 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 does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

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

Tags

CCSS.8.EE.B.6

Front

Given a point (x0, y0) and a slope m, how do you write the equation of the line?

Back

Use the point-slope form: y - y0 = m(x - x0).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from Ax + By = C to y = mx + b, solve for y in terms of x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line that passes through the origin with a slope of 5?

Back

The equation is y = 5x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of -2 and passes through the point (3, 4), what is the equation of the line?

Back

Using point-slope form: y - 4 = -2(x - 3) simplifies to y = -2x + 10.

Front

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

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5