The equation of line perpendicular to given line is:

Step-by-step explanation:
Given equation is:

First of all, we have to find the slope of the given line
So,

Dividing both sides by 2

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

As we know that product of slopes of two perpendicular lines is -1
Let m-2 be the slope of line perpendicular to given line

Slope-intercept form is:

putting the value of the slope

Putting the point (3,1) in the equation

Putting the value of b

Hence,
The equation of line perpendicular to given line is:

Keywords: Slope-intercept form, slope
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Answer:

Step-by-step explanation:
Before adding we require the fractions to have a common denominator
The lowest common denominator of 2, 5 and 3 is 30, thus
+
+ 
=
+
+ 
Add the numerators leaving the denominator
=
= 
9514 1404 393
Answer:
x = 14
Step-by-step explanation:
The sum of angles in a triangle is 180°:
∠O +∠P +∠Q = 180°
(2x -5)° +(3x -8)° +(10x -17)° = 180°
15x -30 = 180 . . . . . divide by °, collect terms
x -2 = 12 . . . . . . . . . divide by 15
x = 14 . . . . . . . . . . . .add 2
Answer:
B)5/3
Step-by-step explanation:
"3x + 5y = 15."
Rewrite in slope-intercept form.
The slope-intercept form is
y=mx+b
where m is the slope and b is the y-intercept.
y=mx+b
Subtract 3x from both sides of the equation.
5y=15−3x
Divide each term by "5" and simplify.
5y/5=15/5−3x/5
"5" and "5" cancel each other out
Divide 15 by 5
y=3-3x/5
Reorder 3 and −3x/5
y=-3x/5+3
Rewrite in slope-intercept form.
y=−3/5x+3
Slope:-3/5
The equation of a perpendicular line to y=−3x/5+3 must have a slope that is the negative reciprocal of the original slope.
<em>m</em>perpendicular=−1/(−3/5)
Simplify the result.
mperpendicular=5/3
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