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

The line doesn't pass through the given point

Explanation:

Given the following linear equation:

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:

Since , we may conclude that the line doesn't pass through the point.

Density is equal to the mass of the substance per volume it occupies. In ths case, the density of gold from literature is 19,300 kg/m3 or 19.3 g/cm3. Given the volume of 4.20cm^3 , the mass is obtained by multiplying density and volume to get 81.06 grams of gold