Problem

Graph the linear equation. \[ 2 x+5 y=10 \] Use the graphing tool to graph the linear equation. Click to enlarge graph

Solution

Step 1 :Rearrange the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, we need to solve the equation for y.

Step 2 :Use matplotlib, a Python library, to plot the graph.

Step 3 :The graph of the linear equation \(2x + 5y = 10\) is a straight line that intersects the y-axis at \(y = 2\) and has a slope of \(-2/5\). The line decreases as \(x\) increases.

Step 4 :\(\boxed{\text{The graph of the linear equation } 2x + 5y = 10 \text{ is a straight line that intersects the y-axis at } y = 2 \text{ and has a slope of } -2/5. \text{ The line decreases as } x \text{ increases.}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7ZrlfdxUIb/

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