Answer:
1. m= 1/2 b=3
2. m= 1/2 b=-2
3 and 4. answered below
5. The point of intersection is where two lines intersect.
Step-by-step explanation:
you have -x+2y=6. finding the slope is very easy, you just have to isolate y.
2y=6+x ---> y = 3+ x/2. The slope would be 1/2 for the first one. the y intercept would be 3.
To graph, there are different ways of doing it. You can do it by finding the y intercept and x intercept, by making a chart and finding plotting points, or you can do it graphing the y intercept and doing rise over run from there.
The
The function g(x) has a greater slope and the function f(x) has a greater y-intercept
<h3>How to compare the slopes?</h3>
The function is given as:
Function f(x)
x f(x)
-1 -6
0 -3
1 0
g(x) = 4x - 5
The slope of f(x) is calculated using:

This gives

Evaluate
m = 3
By the general format of a linear equation, the slope of the function g(x) is:
m = 4
4 is greater than 3
Hence, the function g(x) has a greater slope
<h3>How to compare the y-intercepts?</h3>
This is when x = 0
For the function f(x), we have:
f(0) = -3
For the function g(x), we have:
g(0) = 5-
-3 is greater than -5
Hence, the function f(x) has a greater y-intercept
Read more about linear functions at:
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Answer:
X =7
Step-by-step explanation:
find x;
45 IS base,
so 45 power X = 45^7
45^x = 45^7
45 will cancel out remaining x=7
therefore x= 7
Answer: Option B
B. 
Step-by-step explanation:
We have the following equations:
(1)
(2)
Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.
Then we must multiply the number "a" by a value z such that when adding
the result is zero.

So

We solve the equation for z


The first equation must be multiplied by a value of 
Answer:
7oz of water
Step-by-step explanation:
6(1/2)= 3; 6(2/3)= 4; 3+4=7