Perpendicular to y=-2x+4 and goes through (-6,10)?

Question

write an equation of a line

show the formula used (f)

substitution of numbers (w)

and final answer

Answer 1

slope of given line is -2

slope of perpendicular line is 1/2

so, y = 1/2x + c

since it passes from (-6, 10)

10 = 1/2*(-6) + c = -3 + c

so, c = 10 + 3 = 13

line is y = 1/2x + 13

Answer 2

Remember that perpendicular lines have slopes that are negative reciprocals of each other.  The slope of the given line is -2, so that means the slope of the perpendicular line is -(1 / -2) = 1/2.

You have the slope (1/2) and a point on the line (-6,10), so use these to find the equation of the new line.  You can start with y = (1/2)x + b and use the point to find b, or use the point-slope form.

Answer 3

Slope of _|_ line is 1/2 because -2(1/2) = -1

So equation is y = x/2 + b

Since it goes through (-6,10) we have:

10 = 6/2 +b --> b = 7

So equation is y = x/2 +7

Answer 4

1) to be perpendicular you have to a  reciprocal slope with the opposite sign.

2) So, you need a slope of +1/2.  

3)Your new equation is y=1/2x+b

4) now solve for b by putting in the coordinates you were given(-6,10)   x=-6 and y=10

5) 10=1/2(-6)+b

6) 10=-3+b

7) 10+3=b

8) 13=b

9) the equation you need is  y=1/2x+13

Answer 5

given line is y = -2x+ 4, therefore slope of line is -2[ on comparing with base equation y= mx+c where c is the y intercept] . now let the slope of required line be m , then

                    -2m = -1     [ m1 . m2 = -1 thats the perpendicular law]

                       m = 1/2   now use this value of m in the equation,

                       y - y1 = m ( x1 - x2) base equation,

   on putting the values, y - 10 = 1/2 ( x - (-6) )

     the final answer is  y - x/2 = 13

Answer 6

to do this you want to get the reciprocal of the slope in order to get the line that is perpindicular to the one you are given.

Flip the slope and negate the sign. -2x is really expressed as -2x/1 and would become positive 1/2.

to make a line with that slope go through those points sub those into the equation Y=Mx+b (FORMULA USED)

X=-6 Y=10 and M=1/2.

You can substitute those into the equation in order to get the B (y intercept)

10 = 1/2(-6) +B (SUBSTITUTION OF NUMBERS)

10 = -3 + B

13 = B

Now you can make your equation but subing them into the slope intercept equation.

Y= 1/2x + 13 (FINAL ANSWER)