Part A
The graph is shown below as an attached image.
The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)
I'm using GeoGebra to graph the line.
side note: (0, -3) is the y intercept which is where the graph crosses the y axis.
==================================================
Part B
Answer is choice 2
The graph can be written in the form y = mx+b, so it is linear
In this case, m = -2 is the slope and b = -3 is the y intercept
We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.
In this problem, you must use SohCahToa which basically means:
Sin - opposite over hypotenuse
Cosine - adjacent over hypotenuse
Tangent - Opposite over hypotenuse
So in this picture we have 4 -which is on the opposite side of x - and a 5 -which is the hypotenuse of the triangle. This means we must use sin.
Using a calculator you put in:
Your answer is 53.13 degrees
Answer:
Step-by-step explanation:
1)
First we add what we know for y into the second equation.
5x - 4(x +2)= -3
From there, we simplify it
5x-4x-8= -3
x-8=-3
Now we get the x on its own
x=5
and now we add x=5 into the first equation that we had and simplify to find y
y=5+2
y=7
So the answer is x=5, y=7 or (5,7)
2)
For this one we do the same thing as with 1.
Add what we know for y (bottom equation) to the top equation
3x-8(x-8)=24
Now we simplify
3x-8x+64=24
-5x+64=24
And now solve for X
-5x=-40
x=8
And then substitute x=8 to find y
y=8=8
y=0
So the answer is x=8, y=0 or (8,0)
