SOLUTION: what is the x intercept of the equation {{{y-5x=6}}}

Algebra ->  College  -> Linear Algebra -> SOLUTION: what is the x intercept of the equation {{{y-5x=6}}}      Log On


   



Question 251793: what is the x intercept of the equation y-5x=6
Found 3 solutions by jim_thompson5910, richwmiller, oberobic:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y-5x=6 Start with the given equation.


0-5x=6 Plug in y=0


-5x=6 Simplify


x=6%2F%28-5%29 Divide both sides by -6.


x=-6%2F5 Simplify


So when y=0, x=-6%2F5 giving us the point which is the x-intercept.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
y-5x=6
The slope equation is y=mx+b
where m=slope and b=y intercept
the y intercept is when x=0
the x intercept is when y=0
so set the equation to y=0 and solve for x
0-5x=6
-5x=6
continue to solve for x

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
First, get your equation into slope-intercept form: y = mx + b.
.
y+-+5x+=+6
.
Add 5x to both sides.
y+=+5x+%2B+6
.
So we immediately recognize several things.
a. It is a linear equation (i.e., no exponents).
b. Since it a linear equation, its graph will be straight line.
c. The slope, m, is 5. That means for every 1-unit change in x, there is a 5-unit change in y.
d. The line will intercept the y-axis where x=0. By inspection we can see that is 6, so the point is (0,6).
.
Your question is the x-intercept, which is where the line crosses the x-axis. That means y = 0.
So we solve the equation:
0+=+5x+%2B+6
or
5x+%2B+6+=+0
.
Subtract 6 from both sides.
5x+=+-6
.
Divide both sides by 5.
x+=+-%286%2F5%29+=+-1.2
.
So the point will be (-1.2,0).
.
We also can graph the equation.
%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C5%2Ax%2B6%29%0D%0A