Heather writes the equations below to represent two lines drawn on the coordinate plane. –6x + 18y = 0 4x – 12y = 20 After apply
2 answers:
Answer:
The equation has no solution; therefore, the system of equations has no solution
Step-by-step explanation:
we have
-----> equation A
-----> equation B
we know that
If after applying the linear combination method, Heather arrived at the equation 0 = 60
then
The reason is because both lines are parallel, therefore the system of equations has no solutions
<u>Verify</u>
isolate the variable y in the equation A
--------> the slope is 1/3
isolate the variable y in the equation B
--------> the slope is 1/3
Remember that
If the slopes are equal the lines are parallel
so
The system of equations has no solutions
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<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!