Question

PLZZZ ANSWER ASAP

What is the equation for a graph with a line going from 300 on the y-axis to 450 on the x-axis

Answer 1

Any straight line on the coordinate plane can be described by the equation

y=mx+b

Where:

x,y are the coordinates of any point on the line

m is the slope of the line

b is the intercept (where the line crosses the y-axis) .

The slope m can be found beetween two points on the line:

`(x_1,y_1)` and
`(x_2,y_2)`

`m=(y_2-y_1)/(x_2-x_1)`

In this case, the points is on the y-axis (0,300) and the x-axis (450,0), whereby the slope m is found:

`m=(y_2-y_1)/(x_2-x_1) = (0-300)/(450-0) = -(2)/(3)`

We already have b, because b is the point, where the line crosses the y-axis.

b=300

So the equation is:

`m=-(2)/(3) \\b=300\\y=mx+b` ⇒
`y=-(2)/(3) +300`

The graph is attached.