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3 years ago

Write an equation of the line that passes through the point (1,3) and has a slope of -2

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

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Find the cube root of 13824 by prime factorization method

V125BC [204]

Answer:

On factorizing 13824, we get

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Step-by-step explanation:

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3 years ago

An in-ground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represent

bagirrra123 [75]

Answer:

$A_w=8x+336$

Step-by-step explanation:

From the question we are told that:

Length of pool $l_p=34$

width of pool $w_p=x$

Width of brick-walk way $w_b=4$

Generally the equation for Area of the pool $A_b$ is mathematically given by

$A_p=l_p*w_p\\\\A_p=34*x$

Generally the equation for Area of the pool with its walkway $A_w'$ is mathematically given by

$A_w'=l_w'+w_w'\\\\A_w'=l_w'+w_w'$

Where

$l_w'=length\ of\ pool\ with\ walkway\\\\l_w'=l_p+4+4\\\\l_w'=34+4+4\\\\l_w'=42$

Therefore

$w_w'=width\ of\ pool\ with walkway\\\\w_w'=w_p+8\\\\A_w'=42*(x+8)$

Generally the equation for pool's walkway $A_w$ is mathematically given by

$A_w=A_w'-A_p\\\\A_w=(42*(x+8))-(34x)$

$A_w=8x+336$

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3 years ago

Write the point-slope form of the line that passes through (6,1) and is perpendicular to a line with a slope of -3. include all

Hitman42 [59]

Answer:

$(y-1)=\frac{1}{3}(x-6)$

Step-by-step explanation:

The equation of the line in point-slope form is:

$(y-y_1)=m(x-x_1)$

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The slopes of two perpendicular lines are opposite reciprocal, then the other slope is:

m= $\frac{1}{3}$

Substitute the slope and the given point into the equation, then you obtain:

$(y-1)=\frac{1}{3}(x-6)$

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Answer:

Step-by-step explanation:

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Write ﻿an ﻿equation ﻿of ﻿the ﻿line ﻿that ﻿passes through the point (1,3) and has a slope of -2

Write an equation of the line that passes through the point (1,3) and has a slope of -2