8th Grade Unit 3 Linear Equations and Linear Systems

Front

What is the equation that represents the relationship between the number of months (x) and the total fitness club membership (y) if the club starts with 80 members and increases by 15 members each month?

Back

y = 15x + 80

Front

What is the y-intercept of a line if it crosses the y-axis at the point (0, 4)?

Back

4

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines

Front

How do you find the slope of a line passing through the points (3, 19) and (5, 27)?

Back

Slope = (y2 - y1) / (x2 - x1) = (27 - 19) / (5 - 3) = 4

Front

What is the Slope-Intercept Form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 2 and a y-intercept of -3, what is the equation of the line?

Back

y = 2x - 3

Front

What is the slope of a line that is horizontal?

Back

0

Front

What is the slope of a line that is vertical?

Back

Undefined

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)