Question

Find the equation of the line that passes through the given point and has the given slope. Express your answer in slope-intercept form.1(3,0), m= -8

Answer 1

Given the word problem, we can deduce the following information:

1. Point (3,0)

2. m=-1/8

To find the slope-intercept form of the equation, we use the formula:

`y=mx+b`

where:

m=slope

b=y-intercept

First, we plug in x=3, y =0, and m=-1/8 into y=mx+b to find the value of b:

`\begin{gathered} y=mx+b \\ 0=-(1)/(8)(3)+b \\ \text{Simplify and rearrange} \\ b=(3)/(8) \end{gathered}`

Then, we plug in b=3/8 and m=-1/8 into the slope-intercept form formula:

`\begin{gathered} y=mx+b \\ y=-(1)/(8)x+(3)/(8) \end{gathered}`

Therefore, the answer is:

`y=-(1)/(8)x+(3)/(8)`