Respuesta :
The equation of line is:
[tex]y=-\frac{1}{2}x+6[/tex]
Further explanation:
Given
y = 2x + 2
Comparing it with standard form:
y=mx+b
Let m1 be the slope of given line
[tex]m_1=2[/tex]
We know that product of slopes of two perpendicular lines is -1
Let m2 be the slope of second line
[tex]m_1.m_2=-1\\2*m_2= -1\\m_2 = -\frac{1}{2}[/tex]
Putting the value of m2 in standard form
[tex]y=-\frac{1}{2}x+b[/tex]
To find the value of b, putting (6,3) in equation
[tex]3=-\frac{1}{2}(6)+b\\3=-3+b\\3+3=b\\b=6[/tex]
Putting the values of b and m, we get
[tex]y=-\frac{1}{2}x+6[/tex]
The equation of line is:
[tex]y=-\frac{1}{2}x+6[/tex]
Keywords: Slope, Point-slope form
Learn more about slope at:
- brainly.com/question/2688526
- brainly.com/question/2920401
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