Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula 
. Isolate y:
The number in place of 
, or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.
Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.
2) Now, remember that the slope-intercept form is represented by the formula . In order to write an equation of a line using that formula, we need to substitute values for and 
. We know is the slope, so we already know what that equals. Now, we just need to find .
To do that, substitute -2 for in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate and find its values:
So, = 10.
3) Substitute values for and into the slope-intercept formula to write the slope-intercept form of the line:
Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
Answer:
There are 210 students running track and 98 students that play baseball.
Step-by-step explanation:
15*14= 210 and 7*14 = 98, 210 - 98 = 112. If this was correct feel free to mark me as brainiest :)
Answer:
$8,000
Step-by-step explanation:
Let the store earned $x in December.
Therefore,
Money spent to buy new inventory 
Remaining money 
Money used to pay bills 
Money still left over = $3,000
Total money earned in December 
Thus, total money earned in December is $8,000.
3/7x + 5 = 8
= 3/7x + 5 - 5 = 8 - 5
= 3/7x = 3
= (7/3) * (3/7x) = (7/3) * (3)
x = 7
I hope this helps! :>
