Answer:
The equation of the line is 
Step-by-step explanation:
Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.
The equation of a line is always in 
form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).
We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.
Hope this helped!
Answer:
2/3 (0,-3) is one possible answer.
Step-by-step explanation:
y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.
3(y - 1) = 3[2/3(x - 6)]
3y -3 = 2(x -6)
3y - 3 = 2x -12
3y = 2x - 9 Now divide all the way through by 3 to get
y = 2/3x - 3
y = mx + b. The m part is the slope. In this equation the slope is 2/3
There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:
y = 2/3(0) - 3
y = 1 so my point is (0,-3)
Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"
y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get
y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.
y - 1 = 2/3x -4 now add 1 to both sides.
y = 2/3x -3
Answer:
175 dimes and 75 quarters
Step-by-step explanation:
Make a system of equations, where d is the number of dimes and q is the number of quarters:
d + q = 250
0.1d + 0.25q = 36.25
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1q = -25
0.1d + 0.25q = 36.25
0.15q = 11.25
q = 75
Then, plug in 75 as q into one of the equations to solve for d:
d + q = 250
d + 75 = 250
d = 175
So, there are 175 dimes and 75 quarters
The answer to 2-(-8)+(-3)= 7
Answer:
-2(3+3) = -12
Step-by-step explanation:
f(x) is telling you to substitute all the x values into the equation. The f(x) of the function is 3, telling you to plug in 3 in the equation. This leads to -2(6) = -12.
