Question

Someone please help me with this, im not really good at math and i dont understand this...​

Answer 1

`y=-(3)/(2) x+6`

Explanation:

We need the equation of the line in the form:

`y=mx+b`

where m is the slope of the line and b is the y-intercept.

y-intercept: the point where the line touches the y axis.

In this case that point is 6. So b = 6

Slope:

is the rate of change between the y-coordinate and the x-coordinate on the graph of the line.

To find the slope we need two points where the line crosses, I will take the points:

`(0,6)` and
`(2,3)`

where we name the coordinates as follows:

`x_(1)=0\\y_(1)=6\\x_(2)=2\\y_(2)=3`

and use the slope equation:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

substituting our values:

`m=(3-6)/(2-0)\\ \\m=-(3)/(2)`

and so, gathering the information we find we can define the equation of the line:

`y=mx+b\\\\y=-(3)/(2) x+6`