Answer:
The equation in point-slope form is: 
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: 
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: 
We have 
Putting values and finding slope

So , slope m is: 
Using point (5,0) and slope m =1/22 the equation of point-slope form is:

So, the equation in point-slope form is: 
Answer:
Step-by-step explanation:
slope=(-2-2)/(-2-6)=-4/-8=1/2
eq. of line is
y-2=1/2(x-6)
2y-4=x-6
2y=x-6+4
2y=x-2
or y=1/2x-1
9514 1404 393
Answer:
about 24.58 m/s
Step-by-step explanation:
Multiply by conversion factors that change the units, but not the value.
(55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s
= 88495/3600 m/s ≈ 24.58 m/s
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<em>Additional comment</em>
The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.
Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,

Considering the first two ratios of equation (1),

On interchanging the segments further,

Hence, the required segment in the blanks is GF/GH.