how do you put the following in y=mx+b
1. 19y-8=6x
2. 15x-12x=21
you have to solve to get y by itself and everything else on the other side of the equation.
i don't know if you made a mistake on the second one..there is no y
could you display how the first one will be done?
19y-8=6x
then you bring 8 to the other side(add it )
so now you have
19y=6x+8
now you divide 19y by 19 to get y by itself, and you do the same to the other side
y=6x + 8/19
except im not sure if you just divide the 8 by 19 or if you have to divide the 6x by it too..
this type of question takes 2 steps
1. move all terms except the y term to the right side
so 19y = 6x + 8
2. divide every term by the coefficient of the y term, so divide everybody by 19
y = (6/19)x + 8/19
do the same thing to your second equation after you have corrected it.
To put the given equations in the form y = mx + b, where m is the slope and b is the y-intercept, you need to isolate the y variable on one side of the equation.
1. 19y - 8 = 6x
To isolate the y variable, you need to move the term with x to the other side.
First, add 8 to both sides of the equation to get rid of -8:
19y - 8 + 8 = 6x + 8
This simplifies to:
19y = 6x + 8
Next, divide both sides of the equation by 19 to isolate y:
19y/19 = (6x + 8)/19
This simplifies to:
y = (6/19)x + 8/19
Therefore, the equation is y = (6/19)x + 8/19.
2. 15x - 12x = 21
To isolate the y variable, let's shift the terms with x to one side of the equation:
15x - 12x = 21
Combine the like terms on the left side of the equation:
(15 - 12)x = 21
Simplify further:
3x = 21
To find the value of x, divide both sides of the equation by 3:
(3/3)x = 21/3
Simplifying further:
x = 7
Since there is no y variable in the equation, it cannot be put in the form y = mx + b.