Answer:
The equation of the line is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Step-by-step explanation:
Equation of a line is
[tex]y = mx + c[/tex]
Where m is the slope
c is the y intercept
y = 2x + 3
Comparing with the above formula
m is 2
Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .
That's
m = - 1/2
Equation of the line using point (1,2) and slope - 1/2 is
y - 2 = -1/2(x - 1)
y - 2 = -1/2x + 1/2
y = -1/2x + 1/2 + 2
The final answer is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Hope this helps you.
