Write and solve a system of linear equations in real world context. We'll be learning how to write and solve systems of linear equations using these real-world scenarios as well as the different forms of linear equations. We'll also be learning how to apply PEMDAS to the process.

y - y1 = m(x - x1)

https://images.app.goo.gl/P9Pw7ntNujqR9zJm6

Here's a video to help you better understand it:

Point Slope Form - Basic Introduction - Algebra

https://youtu.be/yoHs1h5qtuQ?si=RFy5jItvZ7D3MDXb

How would the formula look if you had a 6 for y and a 4 for x?

y = mx + b

Here's a video to help you better understand it:

Converting Linear Equations from Standard Form to Slope Intercept Form

https://youtu.be/4WktSA13vKc?si=2w1B-cYlbp7M_X92

How would the formula look if you had a 7 for x and a 2 for b?

Creative example:
Let x = number of adult tickets
Let y = number of child tickets

Equation 1: x + y = 200 (total tickets)
Equation 2: 12x + 8y = 2160 (total revenue)

Remember: Write equations in standard form!

Ax + By = C

How would the formula look if you had a 1.5 for y and a 3 for x?

Even as we look around us in the real world, objects and architecture are made of linear lines.

These lines can be expressed and rearranged into the many forms we've gone over.

Ex: A line going from the corner of one block to the corner of another can be expressed as going right 3 (x) and going up 2 (y) so it can be expressed as:

A3 + B2 = C

or

2 = m3 + b

Looking at the following Picture above how can linear lines on this chess board be created?

Imagine how a linear line can go from the bottom left corner of H1 to the top right corner of 6A

Write a slope intercept equation that would go from H1 to D3

Write a slope intercept equation that would go from H1 to A8

Write a slope intercept equation that would go from E1 to H4

Write a slope intercept equation that would go from G1 to A4