Answer:
A. y=
x-3
B.y=
x-3
Step-by-step explanation:
Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=
x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=
x-3
Answer:
Step-by-step explanation:
Answer:
X=1, Y=2
Step-by-step explanation:
In the attached file
Answer:
parallel means that the line has the same slope as
![y = \frac{1}{2} x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%209)
Slope point formula :
y - y1 = m (x - x1)
m represents the slope.
x and y represents the point in the form (x, y).
Since the slopes are the same we can substitute the slope into the formula:
![y - y1 = \frac{1}{2} (x - x1)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20x1%29)
then we can substitute our point (2, - 5)
![y - ( - 5) = \frac{1}{2} (x - 2)](https://tex.z-dn.net/?f=y%20-%20%28%20-%205%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29)
Final answer:
Change the - 5 to positive.
![y + 5 = \frac{1}{2} (x - 2)](https://tex.z-dn.net/?f=y%20%2B%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29)
Leave y by it's own and subtract 5 to get rid of it. Do this both sides to make it equal.
![y + 5 - 5 = \frac{1}{2} (x - 2) - 5](https://tex.z-dn.net/?f=y%20%20%2B%205%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%202%29%20%20-%205)
Get rid of the brackets by multiplying:
![y =( \frac{1}{2} \times x) - ( \frac{1}{2} \times 2) - 5](https://tex.z-dn.net/?f=y%20%3D%28%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20x%29%20%20-%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%202%29%20-%205)
simplify:
![y = \frac{1}{2} x - 1 - 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%201%20-%205)
Answer:
![y = \frac{1}{2} x - 6](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%206)
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