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
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