Answer:
True
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
when two points are given and we are asked to find the equation of a line passing through those points we use two-point form to arrive at the answer.
Let
and
be two points that passes through a line. Then the equation of the line is given by:
![\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%20y_1%7D%7By_2%20-%20y_1%7D%20%3D%20%5Cfrac%7Bx%20-%20x_1%7D%7Bx_2%20-%20x_1%7D)
Here
and ![$(x_2,y_2) = (2, 8)$](https://tex.z-dn.net/?f=%24%28x_2%2Cy_2%29%20%3D%20%282%2C%208%29%24)
Therefore, ![\frac{y - 10}{-2} = \frac{x + 5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%2010%7D%7B-2%7D%20%3D%20%5Cfrac%7Bx%20%2B%205%7D%7B7%7D)
![$ \implies 7y - 70 = -2x - 10 $\\$ \implies 7y = - 2x + 60 $\\$ y = \frac{-2}{7}x + \frac{60}{7}](https://tex.z-dn.net/?f=%24%20%5Cimplies%207y%20-%2070%20%3D%20-2x%20-%2010%20%24%5C%5C%24%20%5Cimplies%207y%20%3D%20-%202x%20%2B%2060%20%24%5C%5C%24%20y%20%3D%20%5Cfrac%7B-2%7D%7B7%7Dx%20%2B%20%5Cfrac%7B60%7D%7B7%7D)
Answer:
plot two points and draw a line through them
Step-by-step explanation:
The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.
Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.
For b=0, the point is (b, C) = (0, 4.95)
For b=5, the point is (b, C) = (5, 24.90)
The graph might look like the attached.
_____
For b=5, the equation gives ...
C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90
Answer: x = 27°
Step-by-step explanation: Both are alternate interior angles