Respuesta :

The equation of line that passes through the ordered pair (3,7)and has a slope of -4 is: [tex]y = -4x+19[/tex]

Step-by-step explanation:

The slope-intercept form of equation is given by:

[tex]y= mx+b[/tex]

Given

slope = m = -4

Point  = (3,7)

Putting the value of slope in slope-intercept form

[tex]y = -4x+b[/tex]

Putting the point (3,7) in equation

[tex]7 = -4(3) +b\\7 = -12 +b\\b = 7+12\\b = 19[/tex]

Putting the value of b in equation

[tex]y = -4x+19[/tex]

Hence,

The equation of line that passes through the ordered pair (3,7)and has a slope of -4 is: [tex]y = -4x+19[/tex]

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

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