Algebra - REVIEW of Writing the Equation of a Line

Front

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

Back

The slope-intercept form 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 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

Write the equation of a line with a slope of 3 and a y-intercept of -4.

Back

The equation is y = 3x - 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is point-slope form of a linear equation?

Back

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

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3 after converting to slope-intercept form.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line decreases at a 45-degree angle from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line that is perpendicular to y = 2x + 3?

Back

The slope of the perpendicular line is -1/2, so the equation can be written as y = -1/2x + b.