Writing the Equation of a line Flashcard

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

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

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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 2 and a y-intercept of 4, what is the equation of the line?

Back

The equation is y = 2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the cost equation for a service that charges a flat fee plus a variable rate?

Back

The equation is y = mx + b, where m is the variable rate per unit and b is the flat fee.

Tags

CCSS.8.EE.B.5

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the fixed costs and variable rates, and express the relationship in the form y = mx + b.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you graph a linear equation?

Back

Start by plotting the y-intercept, then use the slope to find another point, and draw a line through the points.