Help please =*( Line K is in the rectangular coordinate system. If line K is defined by the equation 3y=2x+6 and line K intersects the x-axis at point (a, b), then what is the value of a?

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Help please =*( Line K is in the rectangular coordinate system. If line K is defined by the equation 3y=2x+6 and line K intersects the x-axis at point (a, b), then what is the value of a?

Mathematics
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answer or step-by-step?
Okay i know the answer to this i need to know why we multiply the Y by 0 instead of the y-intercept.
y-coordinate = 0 not y-intercept

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ook... don't know why Y gets multiplied by 0 in your given solution... but maybe it was smth like: any point on x axis is (x, 0)
like i said yesterday (a,b) <--- b is y-coordinate not y-intercept (b)
So why is it 3(0)=2(a)+6 instead of 3=2(a)+0
yep right
So you need the y-intercept to find the x-intercept?
not the y-intercept y-coordinate that's what you need
But in this case we multiplied the coordinate by 0 and used the y-intercept to find the solution
|dw:1439308325786:dw| to find x-intercept replace y for 0 always!!
|dw:1439308403560:dw|
we didn't multiply the coordinate. actually, we used the 2nd relation of a formed system of equations (we didn't write the system) . that equation is : y = 0 (and, implicitly, x = a) , the equation of the x axis
|dw:1439308484644:dw|
the y-coordinate was made 0 not the y-intercept
:=) ye
so to find the x-intercept make the y-coordinate a 0 not the y-intercept?
yep right
okay thanks Nnesha!
my pleasure :=)
i forgot to tell you something there is one situation when y-coordinate = y-intercept only when x=0 if slope of line is 2 passes through the point( 0 ,4) where x=0 y =4 thats mean y-intercept is also 4 you don't need to plug in x and y value to solve for b ONLY WHEN x=0 (0,8) <--y-intercept = 8 =y-coordinate
okay got it thanks <33333

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