<u>Answer:
</u>
The equation of the line with slope -3 and passes through (2,-1) is y = -3x + 5
<u>Solution:</u>
In the question it is given that the line passes through the point (2,-1) with slope (m) = -3. We have to find out the point slope form and slope intercept form of the equation.
We know the point - slope form of an equation is given by
Substituting the values in the point slope form of the equation we get
(y-(-1)) = -3(x-2)
(y+1) = -3 (x-2)
is the point slope form of given line
We know the slope intercept form of a line is given by
y = mx +c
Here y = -1 , x = 2 and m = -3
Substituting the values in slope intercept form equation we get
-1 = (-3)2 + c
⇒-1 = -6 + c
⇒-1+6 = c
c = 5
Thus the slope intercept form of equation is y = -3x+5
<h3>
Answer: Choice C</h3>
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
Number 20 should be A.) An increase of the variety of goods available.
Number 21 should be E.) Manufacturing.
Answer:
7
Step-by-step explanation:
Answer:
A) 8m-10n
B) 19r - 19s
C) 12 - 28g + 8f
Step-by-step explanation:
To write the equation in standard form:
- Distribute into any parenthesis
- Combine the like terms
- Write in descending order
A). 4 (8m-7n) +6 (3n-4m)
32m - 28n + 18n -24m
8m -10n
B). 9 (r-s) + 5 (2r-2s)
9r-9s+10r-10s
19r-19s
C). 12 (1-3g)+8 (g+f)
12 - 36g + 8g + 8f
12 - 28g + 8f