Answer:
1:3
Step-by-step explanation:
That ratio would be 5 :15 or 1:3
Answer: a) Yes
b) No
Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎
Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.
*You can use the same method for question b).*
Answer:
We conclude the equation is linear because it can be rewritten in the form 
.
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
subtract 18x from both sides
simplify
divide both sides by 9
Now, comparing the equation with a slop-intercept form of linear equation
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form .
From the attached graph, is also clear that the graph of the equation is a straight line.
Hence, option D is correct.
Answer:
(–3, –4)
Step-by-step explanation:
Given pair of linear equation
-4x+y = 8
=> y = 8 + 4x _____(1)
x - 5y = 17 (2)
substituting value of y from equation 1 in equation 2 we have
x - 5(8 + 4x) = 17
=> x - 5*8 -5*4x = 17
=> x - 40 - 20x = 17
=> -40 - 19x = 17
=> -19x = 17+40 = 57
=> x = 57/-19 = -3
Thus, x = -3
y = 8 + 4x = 8 +4(-3) = 8 -12 = -4
Thus, y = -4
Hence, paired solution for given equation is (–3, –4).
I think you just add 6 to the output each time the input increases by 1
