The answer is (3, 0) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 7)/2 = 5
Kx + 7 = 10
Kx = 3
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + -6)/2 = -3
Ky + -6 = -6
Ky = 0
This gives us the final point of (3, 0)
Answer:
80°
Step-by-step explanation:
Since they are vertical angles, they are congruent to each other.
∠r ≅ 80°
Step-by-step explanation:
F( <em>x</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>(</em><em>3</em><em>)</em><em> </em><em>^</em><em> </em><em>x</em>
<em>Y</em><em> </em><em>intercept</em><em> </em>
<em>Let</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>0</em>
<em>f</em><em>(</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>5</em><em>×</em><em> </em><em>3</em><em> </em><em>^</em><em> </em><em>0</em>
<em>f</em><em>(</em><em>0</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>×</em><em> </em><em>1</em>
<em>f</em><em>(</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>5</em>
<em>X</em><em> </em><em>intercept</em><em> </em>
<em>let</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>o</em>
<em>0</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>^</em><em>x</em>
<em>No</em><em> </em><em>x</em><em> </em><em>intercept</em><em>/</em><em> </em><em>zero</em>
<em>therefore</em><em> </em>
<em>Vertical</em><em> </em><em>intercept</em><em> </em><em>(</em><em>0</em><em>;</em><em> </em><em>5</em><em>)</em>
<em>Domain</em><em> </em><em>XER</em>
<em>▪︎</em><em>this</em><em> </em><em>refer</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>X</em>
Answer:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
Answer:
-4
Step-by-step explanation:
The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...
m = rise/run = -4/1 = -4.
The slope is -4.
_____
<em>Additional comment</em>
A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.
