Writing Linear Equations Given Slope and a Point

Today's Goal is to do this!!!

The next slides will walk you through this do now problem, copy the algebraic work into your notebook!

Multiple Choice

What is the first step when graphing 12x - 4y = 32?

• Plot 32 on the y-axis

• Write m = 3 and b = 32

• Convert the equation into slope-intercept form

• This can't be done!

Multiple Choice

When converting standard form to slope-intercept form, the first thing to do is:

12x - 4y = 32

• add 4y to both sides of the equation

• subtract 12x from both sides of the equation

• divide 32 by 4

• combine 12x and -4y

​This is where we are at so far in this problem!

Multiple Choice

The next step for this would be to:

- 4y = - 12x + 32

• divide everything by -4

• divide everything by 4

• subtract 4 from everything

• add 4 to everything

Multiple Choice

The resulting equation when dividing everything by -4 in this equation is:

- 4y = - 12x + 32

• y = 3x + 8

• y = 3x - 8

• y = -3x + 8

• y = -3x - 8

​Go to the next slide to see how it is graphed!
(you don't need that part for your notes today)

​Click through the next few slides to see how to do today's lesson if you were given a graph. You don't need to take notes on this if you just promise to read carefully!

Warning:
The next slide is the most important slide of the lesson!!!!!!!

​You must copy this into your notebook (and the rest of this lesson!)

​​Follow along and write this problem in your notebook!

​Great job following along
(I hope you wrote it all in your notebook!)


Now it is time to try 3 problems on your own.

​Copy this problem in your notebook and try it!

Multiple Choice

What is the first step to write the equation of this line algebraically?

• Write y = mx + b

• Write ax + by = c

• Graph it

• This is impossible

Multiple Choice

Next you would:

• substitute as:

  -7 = 1/3(-6) + b

• substitute as:

  -6 = 1/3(-7) + b

• substitute as:

  1/3 = -6(-7) + b

• This is impossiblesubstitute as:

  -6 = m(-7) + 1/3

Fill in the Blanks

Multiple Choice

Now put it all together in slope-intercept form:

Try this next one in your notebook, then proceed to the next slide once you are done!

Math Response

Type what you got as the equation for this problem!

(hint: use your keyboard to type the variables)

Type answer here

Correct Answer: y=-4x+12

Deg^°

Rad

Math Response

Type what you got as the equation for this problem!

(hint: use your keyboard to type the variables and there is a fraction button on the right side of the keypad!)

Type answer here

Correct Answer: y=-\frac{3}{2}x-14

Deg^°

Rad

That is all we have for the lesson for today.




If you would like to practice this work again, feel free to replay this Quizizz!