Equations of Lines in Context

Which graph represents the equation

y + 2 = 3(x - 1)

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• 
• 
• 

What is the x-intercept of the following equation: 4x + 5y = 20

• (4, 0)

• (5, 0)

• (0, 5)

• (0, 4)

What is the y-intercept of the following equation: 4x + 5y = 20

• (4, 0)

• (5, 0)

• (0, 5)

• (0, 4)

Find the average rate of change (A.R.C.) using the table above.

• $15 per bucket of cookie dough

• $1 per bucket of cookie dough

• -15

What is the rate of change (slope) of the line?

• $220 per year

• $1200 per year

• $ -220 per year

• 5 years per $

What does the y-intercept represent on this graph?

• the value of the laptop after 5 years

• the value of the laptap before it has depreciated

• how many years the laptop has been owned

• how many years a laptop usually lasts

The Metea Valley theater program is selling tickets for their next show. They are selling adult tickets for $8 and children's tickets for $4. The ticket sales for the show totaled $560. Let x represent the number of adult tickets and y represent the number of children's tickets sold. Write an equation for the scenario in standard form.

Explain the meaning of the y-intercept in the context of the scenario represented by the graph.

• The theater made $140 from ticket sales.

• The theater sold 70 adult tickets.

• If the theater didn't sell any adult tickets, they would have to sell 140 children's tickets.

Write the equation of a line that passes through (-4, 2) and (1, 5).

If 40 adult tickets were sold, how many children's tickets were sold?

• 320 tickets

• 60 tickets

• 240 tickets

• 40 tickets