Equation for the line that passes through (4,7) and is perpendicular to the line Y= 2/3x-1
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Answer:
y = -3/2x + 13
Step-by-step explanation:
In order for a line to be perpendicular, it must have an opposite reciprocal slope to the given line. In this instance, the opposite reciprocal of 2/3 would be -3/2. Insert the information given into the point-slope formula.
[tex]y-7=-\frac{3}{2}(x-4)\\\\y-7=-\frac{3}{2}x+6\\\\y=-\frac{3}{2}x+13[/tex]
Answer: y=-3/2x+13
Step-by-step explanation:
(4,7) m=2/3
x,y m⊥=-3/2
7=-3/2(4)+b
7=-6+b
13=b
y=-3/2x+13
feel free to let me know if its wrong