Question

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

Answer 1

Please follow the process as given below.

Explanation:

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

The equation can be written as `y=-5/2x+3` and as such `+3` is the intercept on `y` axis and hence the point through which it passes is `(0,3)`.

Le us also see value of `y`

when `x=-10`, then `y=-5/2xx-10+3=28` and

when `x=10`, then `y=-5/2xx10+3=-22`

Hence line also passes through `(-10,28)` and `(10,-22)`.

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

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]}