Question

Equation for the line that passes through (4,7) and is perpendicular to the line Y= 2/3x-1

Answer 1

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.

$y-7=-\frac{3}{2}(x-4)\\\\y-7=-\frac{3}{2}x+6\\\\y=-\frac{3}{2}x+13$

Answer 2

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