4.2Modeling with Linear Functions
Section · module m51271Read §4.2 at OpenStax ↗
Study this section
Written from the section, each card quoting the span it came from. The ones you miss come back sooner.
What leans on this
Chemistry that uses this algebra — the answer to why you are learning it.
The graphical-determination example reads k off as −slope and [A]₀ off as the y-intercept of a ln[A] vs. t plot, attaching physical units (h⁻¹) to the slope — this is §4.3's own objective (‘graph and interpret applications of slope-intercept form,’ ‘always attach units to slope and intercept’) rather than §4.2's mechanics of writing a line's equation.
- Needs17.5Collision Theory
ln k = (−Ea/R)(1/T) + ln A is set beside y = mx + b and the text tells the student the slope equals −Ea/R and the intercept equals ln A — interpreting a real-world slope and intercept in named units is §4.3's objective; §4.2 supplies the line mechanics but not this interpretive step.