The table of values below represents a linear relationship.
1 answer:
Given:
The table of values.
To find:
The slope and y-intercept for this line.
Solution:
From the given table, we have three (-4,6), (0,3), (4,0).
We need to find the slope and y-intercept for this line.
Consider any two points from the given points.
Consider the line passes through the points (0,3) and (4,0). So, the slope of the line is:
The line passes through the point (0,3). Here the x-coordinate is 0. So, the y-intercept is 3.
Therefore, the slope of the line is and the y-intercept of the line is 3.
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Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
