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Answer:
y = 3x + 1
Step-by-step explanation:
Parallel lines have the same slope:
Given ax + by = c the slope is m = -a/b
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3x - y = 5
x-intercept is where y = 0
3x = 5
x = 5/3
x-intercept at (5/3, 0)
y-intercept is where x=0
-y = 5
y = -5
y-intercept at (0, -5)
To graph this line just plot the two points and draw the connecting line.
If not comfortable plotting (5/3, 0) just plug in a different value for x
and find the corresponding y value...
If x=1 then 3-y=5 ..., -y = 2 ... y = -2 ...
The point (1, -2) is on the line
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3x – y = 5 .. m = -3/(-1) = 3
The parallel line will also have slope m = 3
You need equation of the line with slope 3 through (2,7)
Point slope form: y - y1 = m(x-x1)
y - 7 = 3(x-2)
y - 7 = 3x - 6
y = 3x + 1
As above, to find x-intercept set y=0 and solve for x
To find y-intercept set x=0 and solve for y
Then just plot the two points and draw the second line