[tex]y=-\frac{2}{5}x+\frac{19}{5}[/tex]
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
[tex]y=mx+b[/tex]
Given
[tex]m=-\frac{2}{5}[/tex]
Putting the value of slope in the equation
[tex]y=-\frac{2}{5}x+b[/tex]
To find the value of b, putting the point (-3,5) in equation
[tex]5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}[/tex]
Putting the values of b and m
[tex]y=-\frac{2}{5}x+\frac{19}{5}[/tex]
The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
Learn more about graphs at:
- brainly.com/question/1557905
- brainly.com/question/1554024
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