The equation in slope-intercept form is: [tex]y=5x+4[/tex]
Step-by-step explanation:
The equation of a straight line in slope-intercept form is given by:
[tex]y= mx+b[/tex]
Here m is the slope of the line and b is the y-intercept
Given
m = 5
and
Point (1,9)
Putting m=5 in the slope-intercept form of line
[tex]y = 5x+b[/tex]
To find the y-intercept, putting the given point in the equation
[tex]9 = 5(1) +b\\9 = 5+b\\b = 9-5\\b = 4[/tex]
Put the value of y-intercept in the equation
[tex]y = 5x+4[/tex]
Hence,
The equation in slope-intercept form is: [tex]y=5x+4[/tex]
Keywords: slope, y-intercept
Learn more about equation of line in slope-intercept form at:
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