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Answer:
y=7x+3
Step-by-step explanation:
Hi there!
We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)
First, let's find the slope of y=7x-5, since parallel lines have the same slopes
The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since 7 is in the place of where m is, the slope of the line is 7
It's also the slope of the line parallel to it.
We can substitute 7 as m into the formula y=mx+b for our new line:
y=7x+b
Now we need to find b
Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x
31=7(4)+b
Multiply
31=28+b
Subtract 28 from both sides
3=b
Substitute 3 as b
y=7x+3
Hope this helps!
Answer:
10
Step-by-step explanation:





Senator Smith's percentage rating must increase by 13% in other to undo the previous decreases.
Initial rating = 62%
April rating = 57%
May rating = 57% - 8% = 49%
Final rating after decrease = May rating = 49%
In other to return to initial rating :
Initial rating - Final rating
62% - 49% = 13%
Hence, in other to undo the decrease in April and May rating, Senator Smith's percentage rating must increase by 13%
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