1.1 - The point \((-1,4)\) lies in this quadrant.

1.2 - The point \((-1,-4)\) lies in this quadrant.

1.3 - The point \((1,4)\) lies in this quadrant.

1.4 - The point \((1,-4)\) lies in this quadrant.

2.1 - The point \((0,-4)\) lies on this axis.

2.2 - The point \((-4,0)\) lies on this axis.

• If a graph of a line crosses the \(x\)-axis at a point, the point is called the \(x\)-intercept.
• We find it by setting \(y=0\) and solving for \(x\).

• If a graph of a line crosses the \(y\)-axis at a point, the point is called the \(y\)-intercept.
• We find it by setting \(x=0\) and solving for \(y\).

3.1 - The point \((0, -3)\) is a(n) ___ intercept because the ___ coordinate is 0.

3.2 - The point \((-3, 0)\) is a(n) ___ intercept because the ___ coordinate is 0.

4.1 - Draw a line connecting three points with the same \(x\) coordinates.

Which coordinate does not change?

4.2 - Draw a line connecting three points with the same \(y\) coordinates.

Which coordinate does not change?

4.3 - The line \(x=5\) has a(n) ___ intercept.

4.4 - The line \(y=5\) has a(n) ___ intercept.

5.1 - The line \(y=-5\) passes through \((-4,\_\_\_ )\)  and \((1, \_\_\_)\).

5.2 - The line \(x=-5\) passes through \((\_\_\_, -4)\)  and \(( \_\_\_, 1)\).

5.3 - True/False: The point \((7,2)\) lies on the graph of \(y=2x+3\).

5.4 - True/False: The point \((3,9)\) lies on the graph of \(y=2x+3\).

5.5 - How many points do we need in order to graph a straight line?

• An independent variable is a variable that represents a quantity that is being manipulated in an experiment.
• \(x\) is often the variable used to represent the independent variable in an equation.
• The input variable is always the independent variable.

• A dependent variable is a variable that represents a quantity whose value depends on how the independent variable is manipulated.
• \(y\) is often the variable used to represent the dependent variable in an equation.
• The output variable is always the independent variable.

6.1 - You are running \(m\) miles in a marathon to raise funds, \(f\), for a good cause. For each mile you run, you raise $30.

What are the independent and dependent variables?

6.2 - The number of apples you buy, \(a\), depends on the price, \(p\), of each apple. When each apple costs $1, you buy 2 apples.

What are the independent and dependent variables?

6.3 - You are running \(m\) miles in a marathon and burning \(c\) calories. For each mile you run, you burn 100 calories.

What are the independent and dependent variables?

6.4 - Joel and Ellie are collecting \(c\) cans so they can keep walking additional days, \(d\). For every can they collect, they can walk an extra 2 days.

What are the independent and dependent variables?