Equations of Linear Functions (Graphing and Writing Equations)

Front

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

Back

The slope-intercept form of a linear equation 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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

To convert 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 y-intercept of the equation y = 4x + 18?

Back

The y-intercept is 18.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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 equation of a line that passes through the points (2, 3) and (5, 9)?

Back

The equation is y = 2x + 1.

Front

What does the slope of a line represent in a real-world context?

Back

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

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.6