Answer:
The equation for this is G= -3/2x + 12
and the interpretation of the context, I may get this wrong, is the Y-intercept is the number of gallons used per mile
Step-by-step explanation:
to find out the slope, you get the point from the y-intercept (0, 12) and you see how much you go down for the first number, then you see how much you go right for the second number until you reach the next point in which case it's (2, 9), which will give you 3 for the first number and 2 for the second number.
Then you place the first number above the second number and put a negative sign in front of the whole thing if the line is going down. So the number would be 3/2 and the line is going down, so the answer would be -3/2
to find the y-intercept, you just look at where the point starts on the y-intercept, which is at 12. So the y-intercept is 12.
Answer:
120 pounds
Step-by-step explanation:
We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:
j + b = 180
b - j = 1/2b
Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

Now we can solve using the process of elimination.

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

So Bob weighs 120 pounds and Jim weight 60 pounds.
Hope this helped!
I don't know what posts are but i'm assuming you would subtract 21 from 17 and get 4.
First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,

Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,

Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

Now we have y-axis. Does y axis have a slope? Yes but it is
. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

That is, every point of a form
lies on y-axis.
Hope this helps :)
Hello from MrBillDoesMath!
Answer:
b = 28 degrees
Discussion:
In general,
sin (90 - @) = cos(@)
Set 90 [email protected] = 62 => @ = 28 so
sin (90-28) = sin(62) = cos(28) => b = 28
Thank you,
MrB