Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation,
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
![1 = -\frac{3}{4}(6) + b](https://tex.z-dn.net/?f=%201%20%3D%20-%5Cfrac%7B3%7D%7B4%7D%286%29%20%2B%20b%20)
![1 = -\frac{18}{4} + b](https://tex.z-dn.net/?f=%201%20%3D%20-%5Cfrac%7B18%7D%7B4%7D%20%2B%20b%20)
![1 = -4.5 + b + 4.5](https://tex.z-dn.net/?f=%201%20%3D%20-4.5%20%2B%20b%20%2B%204.5%20)
![1 + 4.5 = -4.5 + b + 4.5](https://tex.z-dn.net/?f=%201%20%2B%204.5%20%3D%20-4.5%20%2B%20b%20%2B%204.5%20)
![5.5 = b](https://tex.z-dn.net/?f=%205.5%20%3D%20b%20)
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Answer:
![y=\frac{1}{2}x+6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B6)
Step-by-step explanation:
Given:
The equation of the known line is:
![y=\frac{1}{2}x-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-4)
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is
.
Therefore, the slope of the unknown line is also ![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Now, for a line with slope 'm' and a point on it
is given as:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Here,
. Therefore,
![y-4=\frac{1}{2}(x-(-4))\\\\y-4=\frac{1}{2}(x+4)\\\\y-4=\frac{1}{2}x+2\\\\y=\frac{1}{2}x+2+4\\\\y=\frac{1}{2}x+6](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B2%7D%28x-%28-4%29%29%5C%5C%5C%5Cy-4%3D%5Cfrac%7B1%7D%7B2%7D%28x%2B4%29%5C%5C%5C%5Cy-4%3D%5Cfrac%7B1%7D%7B2%7Dx%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B2%7Dx%2B2%2B4%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B2%7Dx%2B6)
Hence, the equation of the unknown line is
.
Hope this helps! Mark brainly please!
Answer: exact form: y= -23/4
Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.
Hello There!
It would be 8(2-x)
Hope This Helps You!
Good Luck :)
- Hannah ❤