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Write the equation the line in slope-intercept form. Slope is 3, and (1, 5) is on the line. m = ? To find b (the y-intercept), substitute ? in for m, ? in for x and ? in for y into y=mx+ b. b = ? The equation should be y= ? x + ?

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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

Learn more about equation of line at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

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