in the equation dy+3x=2, for what value of d is the graph of the equation parallel to the graph of x-3y=0? the y axis?
1 answer:
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Answer:
Step-by-step explanation:
Given equation is,
y=-0.5x-2
when x=-2 , y=-0.5(-2)-2=1-2=-1
when x=0 , y=-0.5(0)-2=0-2=-2
when x=2 , y=-0.5(2)-2=-1-2=-3
So, we get the points (-2,-1) , (0,-2) , (2,-3)
Now, using the points on the graph and adding them, we will get the graph of given line.
Please check image for the graph.
Now for the second part- we have to find values of x , for which y is positive.
That means, y will be above the x-axis.
From the graph we can see that- when x<-4,
then the graph is above the x-axis.
So, for all values of x, which are less than -4,
we will get the positive graph.
Answer:
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
Convert mixed number to an improper fraction
so
we have
substitute the values in the formula
Convert to mixed number