# How do you graph the line 2y = 6 - 5x?

Mar 22, 2016

Please follow the process as given below.

#### Explanation:

The equation $2 y = 6 - 5 x$ is easy to reduce it slope intercept form of equation, which is $y = m x + c$, where $m$ is the slope of line and $c$ is its intercept on $y$ axis.

The equation can be written as $y = - \frac{5}{2} x + 3$ and as such $+ 3$ is the intercept on $y$ axis and hence the point through which it passes is $\left(0 , 3\right)$.

Le us also see value of $y$

when $x = - 10$, then $y = - \frac{5}{2} \times - 10 + 3 = 28$ and

when $x = 10$, then $y = - \frac{5}{2} \times 10 + 3 = - 22$

Hence line also passes through $\left(- 10 , 28\right)$ and $\left(10 , - 22\right)$.

Joining the three points $\left(0 , 3\right)$, $\left(- 10 , 28\right)$ and $\left(10 , - 22\right)$ gives us the line $2 y = 6 - 5 x$.

Although one can draw a line using just two points, it may be better to identify three points in the beginning, as any error will show as the three noncollinear will show up.

graph{2y=6-5x [-10, 10, -30, 30]}