The answer is: [B]: " x + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form': "y = mx + b" ;
in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
"m" = the slope of the line; and is the co-efficient of "x" ;
b = the "y-intercept"; (or the "y-coordinate of the point of the "y-intercept").
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ;
b = y-intercept = (10/3) ;
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
" y = mx + b " ; as:
______________________________________________________
" y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form"; or "standard format"; which is:
________________________________________
"Ax + By + C = 0 " ;
________________________________________
So; given:
____________________________________
" y = (-1/3)x + (10/3) " ;
____________________________________
We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;
→ 3* { y = (-1/3)x + (10/3) } ;
→ 3y = -1x + 10 ;
↔ -1x + 10 = 3y ;
Subtract "(3y)" from each side of the equation:
____________________________________
-1x + 10 − 3y = 3y − 3y ;
to get:
-1x + 10 − 3y = 0 ;
↔ -1x − 3y − 10 = 0 ;
→ This is not one of the "3 (THREE) answer choices given" ;
→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:
-1 * {-1x − 3y − 10 = 0} ;
to get:
______________________________________________________
→ " x + 3y + 10 = 0 " ; which is: "Answer choice: [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
→ " Ax + By + C = 0 " .
______________________________________________________
Answer:
37 polio vaccinations and 23 measles vaccination.
Step-by-step explanation:
Let the number of polio vaccination given=x
Let the number of measles vaccination given=y
Dr. Potter gave a total of 60 vaccinations
x+y=60
Since each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. A total of 184 doses was given out.
4x+2y=184
To find the values of x and y, we solve the two equations simultaneously.
x+y=60 (1)
4x+2y=184 (2)
From (1), x=60-y
Substitute x=60-y into equation 2.
4x+2y=184
4(60-y)+2y=184
240-4y+2y=184
240-184=4y-2y
56=2y
Divode both sides by 2
y=23
Recall earlier that x=60-y
x=60-23=37
Dr Potter gave 37 polio vaccinations and 23 measles vaccination.
The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
<h3>What is the equation of line?</h3>
The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
The formula to find equation of line is,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
Here, x and y are the coordinate and subscript (1,2) used for the first and second point.
The points from which the line passes through are (2,5) and (-2,-3). Put the values,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
(y-(-2))={(-3-5)/(-2-2)}(x-2)
y+2={-8/-4}(x-2)
y+2=2(x-2)
y+2=2x-4
y=2x-4-2
y=2x-6
Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
Learn more about the equation of line here;
brainly.com/question/13763238
#SPJ1
