Answer:
D. (6,3)
Step-by-step explanation:
To the find which point can be located on the line you will have to find the point-slope form
The formula for point-slope form is y=mx+b
m is slope
b is y-intercept
Since we already know the slope we can just replace it:
y=1/2x+b
Now we need to find the y-intercept
We can do this by distributing them with (4,2)
As you remember in point the digits are in x and y
(x,y) so we can tell that 4 is x and 2 is y
Now we can substitute x with 4 and y with 2
2=1/2(4)+b
Multiply 1/2 and 4
which is 2
2=2+b
Thus b=0
So the slope intercept form is y=1/2x
Now we can substitute the other points:
For (5,2):
2=5/2
Which is incorrect since 2 does not equal 5/2
For (2,3):
3=1/2(2)
Which is
3=1
Which is incorrect since 3 does not equal 1
For (3,4)
4=1/2(3)
Which is
4=3/2
Which is incorrect since 4 does not equal 3/2
For (6,3)
3=1/2(6)
Which is
3=3
Which is correct since 3 does equal to 3
Hope this helps!
Answer:
the Larger poster is 9ft long by 6ft wide
Step-by-step explanation:
In order to find the length and width values of the large poster we first need to find the width of the smaller poster since we are already given the length. Since we are also provided with the perimeter we can add the length twice and subtract it from the perimeter which would give us the value of both width sides of the rectangle, then we simply divide by 2 to get the value of the individual width.
10ft = 3ft + 3ft + w + w
10ft = 6ft + 2w
4ft = 2w
2ft = w
Since the larger poster is 3 times as big for the length and the width we simply multiply the smaller poster's length and width by 3...
L = 3 * 3 = 9ft
W = 2 * 3 = 6ft
Finally, we can see that the Larger poster is 9ft long by 6ft wide
Answer:
f(-2) = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 1
f(-2) is x = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(-2) = 3(-2) + 1
- Multiply: f(-2) = -6 + 1
- Add: f(-2) = -5
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: 
where 
is the slope and 
is the y-intercept
<u>1) Solve for the slope (</u><u>)</u>
The equation to solve for the slope is 
when the two points are 
and 
. Plug the coordinates of these points into the equation and solve for .
Then, plug into .
<u>1) Solve for the y-intercept (</u><u>)</u>
Then, take any of the given points and plug it into along with the slope. Isolate to get the y-intercept. Then, plug both m and b back into to get your final equation.
I hope this helps!
Answer:
If It was a Fraction it'd be 8/5
Step-by-step explanation:
