the equation of line passing through given point parallel to y = -2x+7 is: [tex]y = -2x+9[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = -2x+7[/tex]
As the given line is in slope intercept form, the coefficient of x is the slope
Let m1 be the slope of given line
[tex]m_1 = -2[/tex]
Let m2 be the slope of second line then
[tex]m_2= -2[/tex]
The equation of line is given by:
[tex]y= m_2x+b[/tex]
Putting the value of slope
[tex]y = -2x+b[/tex]
Putting the point (4,1) in the equation
[tex]y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9[/tex]
Putting the value of b in the equation
[tex]y = -2x+9[/tex]
Hence,
the equation of line passing through given point parallel to y = -2x+7 is: [tex]y = -2x+9[/tex]
Keywords: Slope, intercepts
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