Linear Functions – What You Need to Know
Linear functions is one of the most frequently tested subtopics on the SAT/ACT, and students continually employ these basic functions as they progress through more and more rigorous math courses. Indeed, there’s nothing more important to master in high school mathematics than linear models and methods. But which ideas should students fluently understand and keep in mind to score well on the SAT/ACT? Here’s the list. - Definition Linear Functions: functions involving two first-degree variables (typically y^1 and x^1). Vertical line equations x = #. For example: x = 4 graphs as a vertical line through 4 on the x axis. Horizontal line equations y = #. For example: y = -4/5 graphs as a horizontal line through -4/5 on the y axis. Oblique lines Linear equation standard form: Ax+By = C, slope = -A/B. For example: 3x – 4y = 12, slope = -(3/-4) = 3/4. Slope-intercept form: y = mx + b, slope = m = "rise/run," y-intercept = b. For example: y = -x, slope = -1 = -1/1, y-inter...