Graphing Given an Equation, Slope & Point

Graphing Given an Equation

• Plot the point (0,0) also known as the ______.

• Identify your slope. If it is an integer, make it into a fraction over the number

• For a positive slope, count ______ and to the ______.

• For a negative slope, count ______ and to the ______.

• Draw a line through the points and put arrows on each end.

Steps for Graphing:

Next, Guided Practice

Math Response

Equation: $$y=\frac{2}{3}x$$

$$m=$$ ___

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Drag and Drop

After plotting the origin I will make a new point by

counting ​​

Placeholder

​

Placeholder

and

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

2

3

up

down

Graphing

Given the equation: $$y=\frac{2}{3}x$$

Graph the line.

Math Response

$$y=-4x$$

$$m=$$ ___

Type answer here

Correct Answer: \frac{-4}{1}

Deg^°

Rad

Drag and Drop

After plotting the origin I will make a new point by

counting ​​

Placeholder

​ ​

Placeholder

and ​

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

4

1

down

up

Graphing

Given the equation: $$y=-4x$$

Graph the line

Now it's your turn!

Math Response

$$y=\frac{3}{4}x$$

$$m=$$ ___

Type answer here

Correct Answer: \frac{3}{4}

Deg^°

Rad

Drag and Drop

After plotting the origin I will make a new point by

counting ​​

Placeholder

​

Placeholder

and ​

Placeholder

to the right

Drag these tiles and drop them in the correct blank above

4

1

down

3

up

Graphing

Given the equation: $$y=\frac{3}{4}x$$

Graph the line

Math Response

$$y=\frac{-6}{5}x$$

$$m=$$ ___

Type answer here

Correct Answer: -\frac{6}{5}

Deg^°

Rad

Drag and Drop

After plotting the origin I will make a new point by

counting ​​

Placeholder

​

Placeholder

and ​

Placeholder

to the right

Drag these tiles and drop them in the correct blank above

5

1

down

6

up

Graphing

Given the equation: $$y=\frac{-6}{5}x$$

Graph the line.

Math Response

$$y=2x$$

$$m=$$ ___

Type answer here

Correct Answer: \frac{2}{1}

Deg^°

Rad

Graphing

Given the equation $$y=2x$$

Graph the line.

Math Response

$$y=x$$

$$m=$$ ___

Type answer here

Correct Answer: \frac{1}{1}

Deg^°

Rad

Graphing

Given the equation: $$y=x$$

Graph the line

Graphing Given a Slope and Point

• Plot the point, NOT (0,0)

• For positive slope count up and to the right

• For a negative slope, count down and to the right.

• Draw a line through the points and put arrows on each end.

Steps for Graphing:

Next, Guided Practice

Math Response

Equation: $$y=\frac{4}{5}x$$ through point $$\left(2,3\right)$$

$$m=$$

Type answer here

Correct Answer: \frac{4}{5}

Deg^°

Rad

Drag and Drop

Equation: $$y=\frac{4}{5}x$$ through point $$\left(2,3\right)$$

After plotting $$\left(2,3\right)$$ I will make a new point by counting ​​ ​

Placeholder

​

Placeholder

and ​

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

4

up

5

down

Graphing

Given: $$y=\frac{4}{5}x$$ through point $$\left(2,3\right)$$

Graph the line.

Math Response

Equation: $$y=-2x$$ through point $$\left(-7,5\right)$$

$$m=$$

Type answer here

Correct Answer: \frac{-2}{1}

Deg^°

Rad

Drag and Drop

Equation: $$y=-2x$$ through point $$\left(-7,5\right)$$

After plotting $$\left(2,3\right)$$ I will make a new point by counting ​ ​

Placeholder

​

Placeholder

and ​

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

2

up

1

down

Graphing

Given: $$y=-2x$$ through point $$\left(-7,5\right)$$

Now it's your turn!

Math Response

Equation: $$y=\frac{-3}{2}x$$ through point $$\left(5,0\right)$$

$$m=$$

Type answer here

Correct Answer: \frac{-3}{2}

Deg^°

Rad

Drag and Drop

Equation: $$y=\frac{-3}{2}x$$ through point $$\left(5,0\right)$$

After plotting $$\left(5,0\right)$$ I will make a new point by counting ​​ ​

Placeholder

​

Placeholder

and ​

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

2

up

1

3

down

Graphing

Given: $$y=\frac{-3}{2}x$$ through point $$\left(5,0\right)$$

Graph the line.

Math Response

Equation: $$y=6x$$ through point $$\left(1,-5\right)$$

$$m=$$

Type answer here

Correct Answer: \frac{6}{1}

Deg^°

Rad

Drag and Drop

Equation: $$y=6x$$ through point $$\left(1,-5\right)$$

After plotting $$\left(1,-5\right)$$ I will make a new point by counting ​​ ​

Placeholder

​

Placeholder

and ​ ​

Placeholder

to the right.

Drag these tiles and drop them in the correct blank above

up

1

6

down

Graphing

Given: $$y=6x$$ through point $$\left(1,-5\right)$$

Graph the line.

Graphing

Given: $$y=2x$$ through point $$(-5,-8)$$

Graph the line.

Graphing

Given: $$y=-1x$$ through point $$(7,7)$$

Graph the line.