32.6k views
1 vote
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

Find the equation of the line that passes through the given point and has the given-example-1
User Susparsy
by
8.8k points

1 Answer

6 votes

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)

User Stefan Meyer
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories