I need help on here !!!
2 answers:
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Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in minutes, therefore she can solve
number of questions into
minutes.
She can read each page in minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and
intercept of each of the equation to graph them.
For put y=0
We will get
Thus the point is
Let us find by assuming
we get
Thus the point is
Join these two points.
Similarly considering the other equation
Here x-intercept would be at
We will get
Thus the point is
Let us assume on more point, say , we get
Thus the point is
Join these two points.
We will get a point of intersection at
Thus and
Note: Let us consider, we need to find the gradient of line L.
Given:
The given equation of a line is:
The line L passes through the points with coordinates (- 3, 1) and (2, - 2).
To find:
The gradient of the given line and the gradient of line L.
Solution:
Slope intercept form of a line is:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the gradient of the given line is -4.
The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:
Therefore, the gradient of the line L is .