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:
Option C (4096π in²)
Step-by-step explanation:
Area of the circle = 256π in²
We know that
, where r = radius of the circle
So,

Cancelling π from both the sides,


The radius of the circle = 16 in.
When the radius is multiplied with 4 , new radius = 16×4 = 64 in.
New Area = 
5/6 is not the definite ratio, when you take a larger sample size it could be off by a bit like 499/600 or 501/600
Answer:
Juan and Luke each ate 9 grapes
Step-by-step explanation:
24 - 6 = 18
18 ÷ 2 = 9
Answer: x= −
2.3 and the total equation looks like this: 9(-2.3) + 8.0 = -12.7