Find the equation of a line that passes through the point (-5,4) and is perpendicular to 6x-36y
1 answer:
<u>Answer:</u>
<u>Explanation</u>
The given line is
where k is the missing constant from the given equation( this has no effect on the solution in anyway)
We solve for y to get;
The slope of this line after comparing to
y=mx+c is
The negative reciprocal is m=-6
The equation of the required line that passes through (-5,4) is given by
We multiply through by 6 to get:
We expand to get;
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Answer:
y-intercept = 3
Step-by-step explanation:
The given equation is :
6x-5y=-15
We can rewrite it ib slope-intercept form as follows :
Dividing both sides by 5
.....(1)
The general equation of slope-intercept form is:
y = mx +c ....(2)
On comparing equation (1) and (2) we get :
m = 6/5
c = 3
Hence, the y intercept of the graph of the equation is 3.
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is .