Answer:
- y -3 = -4(x -0) or y -3 = -4x
- y = -4x +3
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Fill in the given values:
y -3 = -4(x -0) . . . . point-slope form of the equation of the line
__
To get this to slope-intercept form, you want to rearrange it to ...
y = mx + b
Eliminating parentheses get you ...
y -3 = -4x
Adding 3 puts the equation in the desired form:
y = -4x +3
Answer:
the graph is shifted down 3 units
Step-by-step explanation:
5x-3
meaning the original graph of 5x going down three units
Answer:the sailboats are 358 feet apart.
Step-by-step explanation:
The diagram of the triangle representing the situation is shown in the attached photo.
B represents the position of the lighthouse.
D represents the position of the first sailboat.
C represents the position of the second sailboat.
x represents the distance between the two sailboats
We would apply trigonometric ratio
Tan # = opposite/adjacent
For triangle ABD,
Tan 12 = 370/AD
AD = 370/Tan 12 = 370/0.2126 = 1740.357 feet
For triangle ABC,
Tan 10 = 370/AC
AD = 370/Tan 10 = 370/0.1763 = 2098.695 feet
x = AC - AD = 2098.695 - 1740.357 = 358 feet
Answer:
Yes, they are equivalent
Step-by-step explanation:
you can check by multiplying
If you multiply by 9 on each side you can see that it is correct