8adv.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.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
linear equationstwo variablesformsy = mx + bAx + By = Cy - y1 = m(x - x1)pointslope
Skills
- write (linear equations in two variables in various forms) #dok2
- identify (slope and points needed to write a linear equation) #dok1
- convert (between equation forms: y = mx + b, Ax + By = C, y - y1 = m(x - x1)) #dok2
- use (given information, such as one point and the slope or two points, to create a linear equation) #dok2
Learning Targets
- I can identify what information is needed to write a linear equation in two variables. #dok1
- I can write a linear equation in slope-intercept, standard, and point-slope form given a point and the slope. #dok2
- I can write a linear equation in various forms given two points. #dok2
- I can convert a linear equation from one form to another (slope-intercept, standard, point-slope). #dok2
Big Ideas
- Linear equations can be written in multiple forms depending on the available information and the situation.
- Understanding how to construct equations from given points and slopes builds foundational skills for modeling real-world situations.
Essential Questions
- What information do you need to write the equation of a line?
- How does the form of a linear equation affect how you find or interpret its slope and intercepts?
- Why might you choose one form of a linear equation over another?
- How can you use points and slopes to model relationships in real-world contexts?
- How can you convert between different forms of linear equations and why might that be useful?