Slope:y2-y1/x2-x1
-1-4/4-(-3)
-5/4+3
-5/7
Answer:
the answer is D
Step-by-step explanation:
I don't know how to explain it very well but the line starts at 2 then ends at 8
1.905 rounded to the nearest tenth is 1.9
Answer:
Positive
Step-by-step explanation:
-465+465
= 465-465
=0
Zero is positive.
<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is ![\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_%7B1%7D%20%7D%7Bx-x_%7B1%7D%20%7D%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
When substituted,the equation becomes ![\frac{y-6}{x-2}=\frac{18-6}{6-2}](https://tex.z-dn.net/?f=%5Cfrac%7By-6%7D%7Bx-2%7D%3D%5Cfrac%7B18-6%7D%7B6-2%7D)
which when simplified is ![y=3\times x](https://tex.z-dn.net/?f=y%3D3%5Ctimes%20x)
The line clearly passes through origin.
The distance between two points is ![\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28y_%7B1%7D-y_%7B2%7D%20%29%5E%7B2%7D%2B%28x_%7B1%7D-%20x_%7B2%7D%20%29%5E%7B2%7D%7D)
Distance between origin and
is
.
Distance between origin and
is ![\sqrt{360}](https://tex.z-dn.net/?f=%5Csqrt%7B360%7D)
Scale factor is ![\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dp_%7B2%7D%5Ctext%7B%20from%20origin%7D%7D%7Bdistance%20%5Ctext%7B%20%7D%20of%20%5Ctext%7B%20%7D%20p_%7B1%7D%5Ctext%7B%20from%20origin%7D%7D)
So,scale factor is ![\frac{\sqrt{360} }{\sqrt{40} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B360%7D%20%7D%7B%5Csqrt%7B40%7D%20%7D)
which when simplified becomes 3.