# Graph linear equation identify the x-intercept y-10=-5x?

Feb 25, 2018

graph{y-10=-5x [2,0]}
Coordinates(2,0)

#### Explanation:

$x$-intercept means that $y = 0$
Substitute $y = 0$
$- 5 x = - 10$
$x = 2$
So coordinate of $x$-intercept is (2,0)

Or, you can draw the graph and see where the line intersects the $x$-axis

Feb 25, 2018

graph{-5x+10 [-10, 10, -5, 5]}

The $x$-intercept is $x = 2$.

#### Explanation:

Use the equation to solve for $y$ to get

$y = - 5 x + 10$

To easily graph the equation, find the $y$-intercept and continue the line using the slope from the $y$-intercept. The $y$-intercept is $\left(0 , 10\right)$ (set $x = 0$ and solve for $y$).

To find the $x$-intercept, set $y = 0$ and solve for $x$. Solving for $x$ would give the value of $x = 2$,