# Which equation best represents the line perpendicular to 2y=7x if the y-intercept is b=5?

##### 3 Answers

#### Explanation:

The slope is

#### Explanation:

First find the slope of the given line which is

solve for

here the coefficient of x is the slope

the slope is =

now the line that we need to find is perpendicular so its slope is

the reciprocal of

the equation of the line that is perpendicular to

+5 because is given in the question that it will intersect y-axis at 5

you can check you equation by graphing them using graph calculators like

https://www.desmos.com/calculator

Desmos is a great calculator to graph equations and functions

The line perpendicular to

#### Explanation:

We should know that if you have a line

As this is a well known fact, I will take it as given. (See for instance http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/graphshirev1.shtml or http://www.coolmath.com/algebra/08-lines/14-perpendicular-lines-01

So let's write our line on the above form:

This means

Graphically we get: