SOLUTION: solve equation for y -6x+y=11

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Question 509549: solve equation for y
-6x+y=11

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation
-6x +y = 11
for y
.
That means to get it into slope-intercept form: y = mx+b
.
Then you can define two points and draw a line.
.
You also can define the slope, y-intercept, and x-intercept.
.
To get started,
add 6x to both sides
.
y -6x + 6x = 11 + 6x
.
y = 6x + 11
.
There is no need to go further.
.
The slope is 6, which means it goes steeply up to the right. There is a change of 6 in y for a change of 1 in x.
.
The y-intercept occurs when x = 0, so you can see it is the point: (0, 11).
'b' is the y-intercept
.
The x-intercept occurs when y = 0. If x=-11/6, then 6x = -11.
y = 6(-11/6) + 11
y = 0
This defines the point (-11/6,0).
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With two points you can draw a straight line.
You also can check the intercepts to see if they cross where they are supposed to.
.
graph%28500%2C500%2C-12%2C12%2C-12%2C12%2C6%2Ax%2B11%29