A1 — Apply mathematical processes and communicate reasoning | Worked Example

Question:
Two straight paths run through a park. Path A passes through the points negative 3 comma 1 and 3 comma 5. Path B passes through the point 0 comma negative 4 and has a slope three times the slope of Path A. Part a: Write the equation of each path in slope-intercept form. Part b: Find the coordinates of the point where the two paths intersect. Part c: Determine which path is steeper and explain your reasoning using the concept of slope.

A1 — Apply mathematical processes and communicate reasoning | Worked Example

This lesson covers writing equations of lines in slope-intercept form, solving a system of two linear equations to find their intersection point, and comparing the steepness of lines using the concept of slope. Students work through a real-world context involving two straight paths on a coordinate plane.

In this lesson, you will learn to:
• Calculate the slope of a lin