The constant of proportionality is the continuous ratio betwwen two variables.
If I recall correctly, the slope-intercept form is y=mx+c or y=Mx+b
c is always the y-intercept of the graph, being the point where the line crosses the y axis. In this case:
c= -1
To get the slope, we can use the following equation:
m=(y2-y1)/(x2-x1)
All we need to do is substitute in two sets of coordinates. In this case we will use the coordinates highlighted with the bold points:
(1;2)
(-1;-4)
Now we will place the coordinates into the equation, making sure to correspond its x value to its y value:
m=(-4-2)/(-1-1)
m=3
Therefore the equation is y=3x-1
Answer:
The answer to your question is (x + 7)² + (y - 5)² = 88
Step-by-step explanation:
Equation
x² + 14x + y² - 10y = 14
Complete perfect trinomial squares
x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²
Simplify
x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25
x² + 14x + (7)² + y² - 10y + (5)² = 88
Factor
(x + 7)² + (y - 5)² = 88 This is the equation in the form
center-radius
Answer:
<1 and <3
<1 and <4
<2 and <1
<2 and <3
Step-by-step explanation:
Find the diagram attached
First know that supplementary angles are angles that sums up to 180degrees. Since the sum of angles on a straight line is also 180degrees, then the pair of supplementary angles must lie on the same straight line.
According to the given diagram, the following angles are supplementary since they lie on the same straight line;
<1 and <3
<1 and <4
<2 and <1
<2 and <3
The sum of all the pair of angles is 180 degrees