We'll have to put the given equations in the standard
form:
y = mx + n, where m is the slope and n is y
intercept.
To put it into the standard form, we'll have to
isolate y to the left side. For this reason, we'll subtract 6x and add 35 both
sides:
7y = -6x + 35
We'll
divide by 7 both sides:
y = -6x/7 +
35/7
y = -6x/7 +
5
We notice that the y
intercept of the line
is 5.
6x-3y+15=0
To
put it into the standard form, we'll have to isolate y to the left side. For this
reason, we'll subtract 6x and 15 both sides:
-3y = -6x -
15
We'll divide by 3 both
sides:
y = 2x +
5
We notice that the given
line has the y intercept of 5, also.
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