Lesson 11: On Both of the Lines | Unit 4: Linear Equations and Linear Systems

Multiple Choice

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?

• 46

• 55

• 50

• 40

Draw

Use the graph to find $$x$$ and $$y$$ values that make both $$y=-\frac {2}{3}x+3$$ and $$y=2x-5$$ true. Annotate the graph to show the intersection point of the two lines.

Multiple Choice

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=-3x+5. Find the other equation if its graph has a slope of 1.

• y = -2x + 6
• y = x + 1
• y = 2x - 1
• y = -x + 2

Multiple Choice

The graphs of two linear equations intersect at a point with x-coordinate 3. One equation is y=2x-4. Find the other equation if its graph has a slope of -1.

• y = -2x + 6
• y = -x + 5
• y = -x + 2
• y = 2x + 1

Multiple Choice

Emma has $20 and saves $3 each week. At the same time, Noah has $50 and spends $0.75 per week. In how many weeks will they have the same amount of money?

• 8 weeks
• 10 weeks
• 12 weeks
• 5 weeks

Multiple Choice

The intersection of two lines occurs at a point with y-coordinate -1. One line is described by the equation y=4x+3. What is the equation of the other line if its slope is 2?

• y = 2x - 1
• y = 4x - 1
• y = 3x + 2
• y = 2x + 1

Multiple Choice

Alex has $30 and saves $4 each week. At the same time, Jamie has $72 and spends $3 per week. In how many weeks will they have the same amount of money?

• 8 weeks
• 4 weeks
• 10 weeks
• 6 weeks

Multiple Choice

The intersection of two lines occurs at a point with x-coordinate 4. One line is described by the equation y=3x+2. What is the equation of the other line if its slope is -2?

• y = -2x + 10
• y = 3x - 4
• y = -2x + 6
• y = -2x + 22

Multiple Choice

The point where the graphs of two equations intersect has x-coordinate 5. One equation is y=4x-3. Find the other equation if its graph has a slope of 1.

• y = 2x + 5
• y = -x + 10
• y = x + 12
• y = 3x - 2