Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
We can identify clearly that the slope of the line is 
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be . Plug this into :
<u>2) Determine the y-intercept of line S (b)</u>
Plug in the given point (-4,3) and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept is 2. Plug this back into :
I hope this helps!
The additive inverse: The usage of addition with a negative number.
The original equation is 21 - 11 = 10
To use the additive inverse, change it so that there is an addition sign.
21 + (-11) = 10
B) -11 is your answer
hope this helps
Given:
The equation of a quadratic function is:
To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is 
, then the equation of the axis of symmetry is:
...(i)
We have,
Here, 
. So, the equation of axis of symmetry by using (i), is
Therefore, the correct option is C.
We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
Then y - 2 = (-1/5)(x + 5);
5y - 10 = (-1)(x + 5);
5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
