Which line is perpendicular to the line y=-1/3x-2 and passes through point (1,4)

Option 3)  y = 3x+1

Step-by-step explanation:

Given equation is:

y =

Perpendicular => It will have a slope of negative reciprocal to this slope

So the  ⊥ line has a slope = m =  3

Now,

Point = (x,y) = (1,4)

So, x = 1, y = 4

Putting this in slope intercept form to get b

=>

=> 4 = (3)(1) + b

=> b = 4-3

=> b = 1

Now, Putting m and b in the slope intercept form to get the required equation:

=> y = 3x+1

Option C is the correct option.

Given that,

Which is in the standard form

where, m= slope

c=y- intercept

Slope of perpendicular lines is the product of slope is -1.

Then, y=3x+c------> equation (i)

(X,y)=(1,4) ---- given

c=4-3x

c=4-3(1)

c=4-3

c=1

Put this in equation (i) we get,

This is the required equation of the line.

Hope this helps...

Good luck on your assignment..

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )