The equation of line with slope 3 passing through (1,5) is: [tex]y=3x+2[/tex]
Step-by-step explanation:
Given
m=3
and point = (1,5)
The slope-intercept form is:
y=mx+b
Here m is the slope and b is the y-intercept
Putting the value of the slope, we get
[tex]y=3x+b[/tex]
To find the value of b, putting (1,5) in the equation
[tex]5=3(1)+b\\5=3+b\\b=5-3\\b=2[/tex]
Putting the values of b and m,
[tex]y=3x+2[/tex]
The equation of line with slope 3 passing through (1,5) is: [tex]y=3x+2[/tex]
Keywords: Equation of line, Slope-intercept form
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