Question

Y=-3x+6 and passes through the point -1,4

Answer 1

The line doesn't pass through the given point

Step-by-step explanation:

Given the following linear equation:

`y = -3x + 6`

I assume that the problem asks whether this line passes through the point (-1, 4). In order to answer this question, firstly let's understand that an ordered pair of (-1, 4) represents the form of (x, y). That is, this point in 2D plane has an x coordinate of x = -1 and y coordinate of y = 4.

In order to check whether the given line passes through the given point, we need to substitute the given x value of the point into the 'x' for the line equation and y point into the line equation. If the equation holds, then this point belongs to the line. Otherwise, it doesn't.

Let's substitute:

`y = 4`

`-3x + 6 = -3\cdot (-1) + 6 = 9`

Since
`4\\eq 9`, we may conclude that the line doesn't pass through the point.