Write an equation for the line with a y-intercept of 5 that is perpendicular to the line with equation
y=-3x+2.

y = -1/3 x + 5

Step-by-step explanation:

The general equation is y = mx + b

You are told that the y intercept is 5. The point is (0,5)

So far the general equation looks like y = mx + 5

Now we have to find m

The given slope of y = 3x + 2 is 3.

The slope is whatever number is in front of the x

Use this formula for the vertical slope

m * m1 = - 1

m1 = 3

3*m = - 1                                     Divide by 3

m = -1/3

So the answer you want is y = -1/3 x + 5

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: