Answer:
y = 3/7x + 51
Step-by-step explanation:
y = 3/7x + 11 is parallel to the line so it means that both of their gradient are same so:
y = mx + c
m= gradient point = (-21 , 42)
= 3/7
now we sub the m and the point into the formula which is y= mx+c because we should find the c first then we can find the equation of the line:
42 = 3/7 (-21) + c
42 = -9 + c
42 + 9 = c
51 = c
c = 51
now you hv to rewrite again the equation become y= 3/7x + 51
So now your final answer is : y = 3/7x +51
You need to work out the area so
Area of a rectangle is l x b
So
A= l x b
A= 8 x 4
A= 32
Therefor 32 cubic feet of dirt is needed
Answer:
Before we graph
we know that the slope, mx, could be read as
. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable
does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
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