Question

Hello - I could use some help with the attached problem (#4, please). I understand that the formula is y = mx + b, just need assistance plugging in info, etc. Thank you.

Answer 1

Given:

`(0,375)\text{ and (}5,325)\text{ are the points lie on the line.}`
`\begin{gathered} \text{Slope(m)}=(y_2-y_1)/(x_2-x_1) \\ \text{Slope(m)}=(325-375)/(5-0) \\ \text{Slope(m)}=-(50)/(5) \\ \text{Slope(m)}=-10 \end{gathered}`
`y-\text{intercept(b)}=375`

Equation of the line is

`\begin{gathered} y=mx+b \\ y=-10x+375 \end{gathered}`

If (0,375) is not given , Finding method of y-intercept.

We have an general equation y= -10x+b.

Point (10,275) is passing through the line

`\begin{gathered} 275=-10(10)+b \\ 275=-100+b \\ 275+100=b \\ b=375 \end{gathered}`