Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Y would equal 12 if x were to equal 4. You can think of it as a proportion.
The slope of the given line in the image is -4 , Option A is the answer.
<h3>What is the equation of a straight line ?</h3>
The equation of the straight line is given by
y =mx +c ,
Where m is the slope , C is the intercept
The line is passing through the point
(-1,8) ,(2,-4)
The slope is given by
m = (y₂-y₁) /(x₂-x₁)
m = (-4 - 8 )/(2 +1)
m = -12/3
m = -4
Therefore the slope of the given line in the image is -4 , Option A is the answer.
To know more about Straight Line equation
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To find the answer, you first must find how many yards Charlie can run in a minute. Since there are 60 seconds in a minute, you multiply 3 times 60, which is 180. Then you must multiply this number by 60 again, because there are 60 minutes in an hour. This equals 10,800, your answer.
Charlie can run 10,800 yards in an hour.
