MA19.7A.24
Explain why the x-coordinates of the points where the graphs of the equations $y = f(x)$ and $y = g(x)$ intersect are the solutions of the equation $f(x) = g(x)$. Limit to linear equations. [Algebra I with Probability, 19]
Explain why the x-coordinates of the points where the graphs of the equations $y = f(x)$ and $y = g(x)$ intersect are the solutions of the equation $f(x) = g(x)$. Limit to linear equations. [Algebra I with Probability, 19]
Unpacked Content
UP:MA19.7A.24
Vocabulary
- x-intercepts
- y-intercepts
- Point of intersection
- One solution
Knowledge
Students know:
- That a point of intersection between two linear functions represents one solution to those functions.
Skills
Students are able to:
- Use mathematical language to explain why the x-coordinates are the same at intersection for y = f(x) and y = g(x).
Understanding
Students understand that:
- That in cases of a system of linear equations, there is sometimes only one, common point for each one that yields a solution. This is different from previous experiences with single linear equations where every point on its line is a solution set.
