ALG1.MATH.2.B
Write linear equations in two variables in various forms, including $y = mx + b$, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
linear equationstwo variablesvarious formsslopepointtable of valuesgraphverbal descriptiony = mx + bAx + By = Cy - y₁ = m(x - x₁)
Skills
- write (linear equations in two variables given one point and the slope) #dok2
- write (linear equations in two variables given two points) #dok2
- convert (linear equations between different forms) #dok2
- justify (choice of equation form for different contexts) #dok3
Learning Targets
- I can write a linear equation in the form y = mx + b given a point and the slope. #dok2
- I can write a linear equation in standard form (Ax + By = C) given two points. #dok2
- I can write a linear equation in point-slope form given a point and the slope. #dok2
- I can convert a linear equation between slope-intercept, standard, and point-slope forms. #dok2
- I can choose the best form of a linear equation for a given situation and justify my choice. #dok3
Big Ideas
- Linear equations can be represented in multiple algebraic forms, each useful for different problem contexts.
- Given minimal information—such as points or a point and slope—students can construct any form of a linear equation.
Essential Questions
- How does the information given (points or slope) determine the form of the linear equation you write?
- Why might it be helpful to express a linear equation in different forms depending on the problem?
- How do you write a linear equation given two points?
- When is it useful to write a linear equation in point-slope form versus slope-intercept form?
- How can you check whether your equation correctly models the relationship described?