SOLUTION: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-2, 3) and is perpendicular to the line 4x &#

Question 474131: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-2, 3) and is perpendicular to the line 4x − y = 4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-2, 3) and is perpendicular to the line 4x − y = 4
**
Standard form of an equation for a straight line: y=mx+b, m=slope, b=y-intercept
For given line:
4x-y=4
y=4x-4, m=4, y-intercept=-4
..
For line perpendicular to given line:
m=negative reciprocal=-1/4
y=(-1/4)x+b
solving for b using given point (-2,3)
3=(-1/4)(-2)+b
3=1/2+b
b=3-1/2=5/2
Equation: y=-x/4+5/2
See graph below as a visual check on the answer
..

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