Lesson: Graphing in point-slope and slope intercept forms

​Graphing in slope-intercept form and Point-slope form

Drag and Drop

The y-intercept is ​

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and the slope is ​

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Drag these tiles and drop them in the correct blank above

(0,-3)

(-3,0)

(4,0)

(0,4)

Drag and Drop

Given:  $$y=\frac{3}{5}x$$ , the slope is ​

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and the y-intercept is ​

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Drag these tiles and drop them in the correct blank above

0

1

Drag and Drop

Given:  $$y=4$$ , the slope is ​

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and the y-intercept is​ ​

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Drag these tiles and drop them in the correct blank above

Multiple Choice

Which graph represents the function:   $$y=-\frac{1}{2}x-2$$  

Math Response

Write the equation of the line in Slope-Intercept Form. ( $$y=mx+b$$ )

Type answer here

Correct Answer: y=-\frac{3}{4}x-3

Deg^°

Rad

Graphing

Graph the line:

$$y\ =\ -\frac{2}{3}x+4$$

Graphing

Graph the line:

y = 5

Graphing

Graph the line:

$$y\ =\frac{2}{5}x\ +1$$

​Graphing in point-slope form

Step 1: Graph the point

​Step 2: Use the slope to find another point on the line.

Step 3: Connect the points with a straight line.

​ Step1.

​The slope is -7 so I move right one and down 7, or I could go left 1 and up 7.

​.

​.

​Step 2.

​Step 2.

​Step 3.

​Graph the line.

​y₁ = -3

​m= -7

​x₁ = 5

​Example 2:

​.

​point (3, 7)

Multiple Choice

Identify the slope and ordered pair from the equation: y – 4 = – (x + 2)

• m = 1 ( - 2, 4 )

• m = - 1 ( - 2, 4 )

• m = - 1 ( 4, - 2 )

• m = - 1 ( 2, - 4 )

Multiple Choice

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

• y - 6 = -3(x - 1)

• y + 6 = -3(x + 1)

• y - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Multiple Choice

What is the point slope form equation of the graph given(use blue point in equation)

• y + 2 = $$\frac{3}{2}$$ (x + 2)
  

• y - 2 = $$\frac{3}{2}$$ (x - 2)

• y + 2 = - $$\frac{3}{2}$$ (x + 2)

• y - 2= - $$\frac{3}{2}$$ (x - 2)

Multiple Choice

What is the point slope form of the given line? (Use blue Point in formula)

• y + 1 = 3 (x + 2)

• y - 1 = 2 (x - 3)

• y - 1 = 3 (x - 2)

• y +1 = -3 (x + 2)

Multiple Choice

Give the point slope equation (Use the blue point in formula)

• y - 4 = -4 (x - 4)

• y - 4 = $$-\frac{1}{4}$$  (x - 4)

• y + 4 = $$-\frac{1}{4}$$ (x + 4) 

• y +  4 = -4 (x - 4)

Graphing

Graph the line:

$$y+3\ =\ \frac{-1}{2}\left(x+4\right)$$

Graphing

Graph the line:

$$y-4\ =\ \frac{5}{7}\left(x+6\right)$$

Graphing

Graph the line:

$$y+5\ =\ -\frac{4}{3}\left(x-2\right)$$