6.2 & 6.3 V.A.N.G

Front

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

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change.

Front

Write an equation in the form y = mx for a slope of 15.

Back

y = 15x

Front

If a line has a slope of -1/2, what is the equation in slope-intercept form if it passes through the y-intercept of 5?

Back

y = -1/2x + 5

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).

Front

What is the equation for a plant that grows 9 cm every 5 days?

Back

y = \frac{9}{5}x, where y is the height in cm and x is the number of days.

Front

If Johnny spends $7 to enter a carnival and $2 for each ticket, what is the equation representing his total cost?

Back

y = 2x + 7, where y is the total cost and x is the number of tickets.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you convert the equation y = -1/5x + 5 to standard form?

Back

Multiply through by 5 to get 5y + x = 25.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.