Required equation in slope intercept form is: [tex]y=5x+4[/tex]
Step-by-step explanation:
Given
Let m denote the slope of line
m = 5
the line passes though (1,9)
Slope-intercept form of equation of line is:
[tex]y= mx+b[/tex]
Putting m=5 in the equation
[tex]y = 5x+b[/tex]
Putting (1,9) in the equation
[tex]9 = 5(1) +b\\9 = 5+b\\b = 9-5\\b = 4[/tex]
Putting the value of b
[tex]y = 5x+4[/tex]
Hence,
Required equation in slope intercept form is: [tex]y=5x+4[/tex]
Keywords: Equation, linear equation
Learn more about equation of line at:
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