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artcher [175]
4 years ago
7

Y=3x-8 in function notation

Mathematics
1 answer:
julia-pushkina [17]4 years ago
3 0

To write it in function notation you'll convert it into a function, substituting y by f(x):


y = 3x - 8 = f(x) = 3x - 8



Hope it helped,



BioTeacher101

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1/3 divided by 4
1/3 divided by 4/1
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8 0
3 years ago
Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.
Olin [163]

Answer:

3x+y=0

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

H (-4,2), and I (2,4)

substitute the given points

m=\frac{4-2}{2+4}

m=\frac{2}{6}

simplify

m=\frac{1}{3}

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=\frac{1}{3}

so

m_2=-3

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})  

we have

H (-4,2), and I (2,4)

substitute

M(\frac{-4+2}{2},\frac{2+4}{2})

M(-1,3)  

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

y-y1=m(x-x1)

we have

m=-3

M(-1,3)  

substitute

y-3=-3(x+1)

step 5

Convert to slope intercept form

y=mx+b

Isolate the variable y

y-3=-3x-3

y=-3x-3+3

y=-3x

step 6

Convert to standard form

Ax+By=C

where

A is a positive integer

B and C are integers

y=-3x

Adds 3x both sides

3x+y=0

see the attached figure to better understand the problem

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Mathematics!! Algebra
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subtracting 9x from both sides
2x+20=20
subtracting 20 from both sides
2x=0
dividing by two for both sides
x=0
7 0
4 years ago
Read 2 more answers
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