The equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation 2x + y = 3 is y = 1/2x + 3/2
The given equation of the line is
2x + y = 3
y = 3 - 2x
y = -2x + 3
The slope of the line is -2
The slope of the original line will be negative inverse of -2
= - 1/-2
= 1/2
The line is passing through the point (5, 4)
The slope intercept form is
y = mx + b
Substitute the values in the equation
4 = 1/2(5) + b
4 = 5/2 + b
b = 4 - (5/2)
b = 3/2
Therefore, the equation of the line is y = 1/2x + 3/2
Learn more about slope intercept form here
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