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

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

Plug in

Simplify

Divide both sides by -6.

Simplify

So when , giving us the point which is the x-intercept.
Answer by richwmiller(17219)   (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)   (Show Source): You can put this solution on YOUR website!
First, get your equation into slope-intercept form: y = mx + b.
.

.
Add 5x to both sides.

.
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:

or

.
Subtract 6 from both sides.

.
Divide both sides by 5.

.
So the point will be (-1.2,0).
.
We also can graph the equation.

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