The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:
So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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Answer:
Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality
Step-by-step explanation:
First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.
Answer:
(y1-y2)/(x1-x2)
Step-by-step explanation:
if you have two points from the graph then you can use them to find the slope, for example:
(2,3) and (0,5)
you would take the first point and put it in a fraction (and the second point) but the x goes on the bottom and the y goes on the top:
3/2 and 5/0
Next you put them together minusing one of the equations, but make sure that the two coordinates line up (it doesn't matter which one, in the order):
3-5/2-0
Then you solve:
-2/2
-1
which means that -1 is the slope for this
(the "/" is a fraction bar, in case you didn't already know that)
See photo for complete solution
