Answer:
If you've more doubts you can ask :)
Step-by-step explanation:
If the centre of a circle is (a, b) and radius r, then the equation of the circle is :
<em><u>First we will find the centre, (a , b): </u></em>
<em><u /></em><em><u /></em>
<em><u>Find radius:</u></em>
Diameter is the distance between (-1, 4) and (3, -2)
Therefore ,
<em><u>Equation of the circle is : </u></em>
<em><u></u></em>
The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
#SPJ1
