Write an equation in point-slope form for the line through the given point with the given slope.
1 answer:
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Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition makes sure you are still getting lines (else you would get rid of both x and y); the condition
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
From the given points on the graph we can find which function represents this graph.
A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.
The property of log is that
This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.
So, in this case we have:
Since the answer is 1, the base of log must be 3.
In the given options, only option 3rd is with base 3.
So, the correct answer is option 3.
A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.
The property of log is that
This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.
So, in this case we have:
Since the answer is 1, the base of log must be 3.
In the given options, only option 3rd is with base 3.
So, the correct answer is option 3.