Writing Slope Intercept Form

Writing Slope

Intercept Form

Open Ended

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Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

​Type 1 - Given a Graph

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​Steps

1. Identify your slope

2. Identify where the line crosses the y-axis to find your y-intercept

3. Plug the information into y=mx+b

Some text here about the topic of discussion

Determining Slope from a Graph

1. Pick any two points on the graph

2. Determine the "rise" (change in y)

   1. If you move UP then the slope is positive

   2. if you move DOWN then the slope is negative

3. Determine the "run" (change in x)

   1. If you move RIGHT then the run is positive

   2. If you move "left" then the run is negative

4. Plug values into the rise-over-run formula

5. Simplify as needed

Multiple Choice

What is the slope of this line?

• $$0$$

• $$\frac{3}{5}$$

• $$-\frac{3}{5}$$

• $$-\frac{5}{3}$$

Multiple Choice

What is the y-intercept of this line?

where does the graph cross the y-axis?

• $$0$$

• $$\left(-3,\ 5\right)$$

• $$\left(0,\ 0\right)$$

• $$none$$

Equation in Slope Intercept Form

Multiple Select

Which of the following represents the equation in SLOPE INTERCEPT FORM for the given graph?

• $$y=4x+4$$

• $$y=4x-1$$

• $$y=-4x-1$$

• $$y=-4x+4$$

• $$y=\frac{1}{4}x+4$$

Multiple Choice

Is  $$y=-2x+7$$   the same as  $$y=7-2x$$  ?

• YES

• NO

​Type 2 - Given a Point and the slope.

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​Steps

1. Substitute the given slope into the slope-intercept formula

2. Use the ordered pair to substitute the x and y values into the equation:

y = mx +b

3. Solve for b (your y-intercept)

4. Write the equation

Multiple Choice

Write the equation of the line that passes through the point (3,-1) and has a slope of 2.

• y = 3x - 1

• y = 2x - 5

• y = 2x - 7

• y = -x + 3

Multiple Choice

Write the equation of the line passes through the point (2,1) and has a slope = 4.

• y = 3x - 2

• y = 4x - 7

• y = 4x + 7

• y = 3x + 3

​Type 3 - Given 2 points.

​Steps

1. Find the slope between the two points - replace this for m.

2. Use one of the two given points to find x and y

3. Solve for b.

4. Write the Equation.​

​

Some text here about the topic of discussion

​Type 4 - Given a table

​Steps

1. Pick two points from the table and calculate the slope

2. For the Y-intercept

   1. If the y-intercept is included in the table, plug your slope and intercept into y=mx+b

   2. If the y-intercept is not given use a point from the graph to calculate it (follow steps from previous slides)

Fill in the Blanks

Multiple Choice

Given the table, write the equation in the slope-intercept form.

• y = 1/3x + 6

• y = 3x + 6

• y = 2x + 6

• y = 1/2x + 6

Multiple Choice

In slope-intercept form, write the equation of the line passing through the points (-3,4) and (-4,2).

• y = -2x + 10

• y = -2x - 10

• y = 2x - 10

• y = 2x + 10

Multiple Choice

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

• y = -x + 5

• y = x + 5

• y = x - 5

• y = -x + 5

Give some practice in Edulastic a try!