Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces. what is an equation of the line parallel to the line on the graph that passes through (2,25)?
If a line passes through two points and , then the rate of change is
From the given graph it is clear that the line passes through the points (0,20) and (10,50). So, the slope of the lien is
The slope of two parallel lines are same. So, the slope of parallel line is 3.
The point slope form of a line is
The slope of parallel line is 3 and it passes through the point (4,15). So, the equation of parallel line is
Using distributive property
Add 15 on both sides.
The required equation is y=3x+3. Therefore, the correct option is C.
The answer is "".
In the given statement the graph is missing. So, the correct solution to this question can be described as follows:
The Formula of slope:
Assuming point: (x,y)
Graph point: (2,25)
y = 4x +17
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17