Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

The equation of the line is:

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

So

Passing through the point (-4,5)

This means that when . We use this to find b.

The equation of the line is:

Hi there!

in order to find the value of x, we'll need to use a trigonometry function. for this problem, we'll use tangent, which is opposite/adjacent.

let's set up our equation:

we know that the angle for tangent is 51, so we have tan(51).
then, we know that the opposite side is x.
next, we know that the adjacent side is 10.
therefore, our equation is  tan(51) = x/10.

to solve, all we need to do is multiply both sides by 10:

x = tan(51) x 10
x = 9.03 (not rounded)

therefore, the correct answer is  x = 9.0 (rounded to the nearest tenth).

hope this : )
if there's anything else that i can you with, let me know!