Question

what is the rise?
rise / run = ? /
find the slope of the line.
slope =
(chart: a coordinate grid with a line from (2,1) to (3,5), rise labeled as 4, run labeled as 1)

Explanation:

Step1: Identify the rise

The rise is the vertical change between two points. From the graph, the vertical change (rise) is given as 4? Wait, no, looking at the points: one point is at (2,1) and the other at (3,5). Wait, the vertical difference: 5 - 1 = 4? Wait, the y - coordinates: 1 to 5, so 5 - 1 = 4. So rise is 4? Wait, the graph shows rise = 4? Wait, the question is "What is the rise?" Wait, the grid: the lower point is at (2,1), upper at (3,5). So vertical change: 5 - 1 = 4. So rise is 4.

Step2: Identify the run

Run is horizontal change. From x = 2 to x = 3, so 3 - 2 = 1. So run is 1.

Step3: Calculate slope

Slope is rise over run, so $\frac{rise}{run}=\frac{4}{1} = 4$.

Answer:

rise = 4
run = 1
slope = 4