Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
- On comparing this equation to the slope intercept form y = mx + c ,
=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
- Now the line passes through (-1,2 ) . so on using point slope form , we get ,
=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
<h3>
• Hence the equation of line perpendicular to the given line is <u>5</u><u>x</u><u> </u><u>-3y </u><u>+</u><u> </u><u>1</u><u>1</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
Given parameters:
Equation of the line given 2x - 7y = 13
Coordinates of points = -3, 8
Unknown:
Equation of a line perpendicular = ?
Solution;
To find the equation of this line, simply find the negative inverse of the given line.
m =
2x - 7y = 13 , this is an equation of a straight line
let us write it in the form y = mx + c so as to derive the slope
y and x are coordinates
m is the slope
c is the y intercept
2x - 7y = 13;
-7y = -2x + 13
divide through by -7;
y = +
The slope of this line is ;
Now the slope of a line perpendicular to it will be ;
the equation of the line will be;
y =
Since the coordinate of this line is (-3,8) , let us find C;
y = 8 and x = -3;
8 = (-3) + C
multiply through by 2;
16 = 21 + 2C
16 - 21 = 2C
-5 = 2C
C =
Now the equation of the line is;
y =
8-8^-1
=8-1/8 <<< 8*8=64 then 64-1=63
=63/8
in decimal(7.875)
Answer:
$202 Dollars
Step-by-step explanation:
compounded interest