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

Question

asked Jan 7, 2021 4.6k views

1 Answer

Naveenbos · Answer 1 · 2021-01-13T16:43:05+0000

Answer:

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:

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