Question

Write an equation of the line that passes through (0,3) and (4,2).

Answer 1

y=
`(-1)/(4)`x+3

Explanation:

To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:

m=
`\frac{y_{2-y_(1)} }{x_(2)-x_(1)}`

Now, we can plug these points in this equation.

m=
`(2-3)/(4-0)` --> m=
`(-1)/(4)` .

Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:

y= mx+b

------------

2=
`(-1)/(4)`(4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -
`(-1)/(4)`x+3