Answer:
<em>The slope of the line is m=6. </em>
<em>The y-intercept is (0,−24). </em>
<em>The equation of the line in the slope-intercept form is y=6x−24.</em>
Step-by-step explanation:
The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=2, y1=−12, x2=5, y2=6.
Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.
Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).
b=−12−(6)⋅(2)=−24.
Finally, the equation of the line can be written in the form y=mx+b.
y=6x−24.
Answer:
The slope of the line is m=6.
The y-intercept is (0,−24).
The equation of the line in the slope-intercept form is y=6x−24.
Answer:
- 39/8y
Step-by-step explanation:
First you need to find a common denominator:
There is already a y in both denominators, so you don't have to worry about that. Since only one denominator has an 8, the other needs to have an 8, so you need to multiply the first fraction by 8 → - 4/y * 8 = - 32/8y
From here you can subtract the numerators:
- 32/8y +(- 7/8y) = - 39/8y
Because you are adding a negative to a negative, it makes the number mroe negative
I hope this helps!
Given that the population can be modeled by P=22000+125t, to get the number of years after which the population will be 26000, we proceed as follows:
P=26000
substituting this in the model we get:
26000=22000+125t
solving for t we get:
t=4000/125
t=32
therefore t=32 years
This means it will take 32 years for the population to be 32 years. Thus the year in the year 2032
Answer:
(x - 12)² + y² = 100
Step-by-step explanation:
The standard form of the equation of a circle is;
(x - a)² + (y - b)² = r²
where:
a and b are the coordinates of the centre of the circle
r is the radius
We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)
Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.
Coordinates of the centre is;
((22 + 2)/2), (0 +0)/2))
This is;
(12, 0)
So, a = 12 and b = 0
Now,to get the radius r, we will use the formula;
r = √[(x2 - x1)² + (y2 - y1)²]
Where;
(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)
r = √[(12 - 22)² + (0 - 0)²]
r = √(-10)²
r = √100
r = 10
Thus,equation of the circle is;
(x - 12)² + (y - 0)² = 10²
(x - 12)² + y² = 100
