208k views
0 votes
Find the equation of the line shown in the graph. Write the equation in slope-intercept form. Y=

Find the equation of the line shown in the graph. Write the equation in slope-intercept-example-1
User Energya
by
7.8k points

1 Answer

5 votes


y=(1)/(2)x-1

Step-by-step explanation

the slope-intercept form of a line is


\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept} \end{gathered}

Step 1

find the slope of the line:

the slope of a line is given by:


\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ \text{and} \\ P2(x_2,y_2) \\ \text{are 2 points from the line} \end{gathered}

then

pick 2 points from the line:

let

P1(0,-1)

P2(2,0)

now, replace and get the slope


\begin{gathered} \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \text{slope}=(0-(-1))/(2-0)=(1)/(2) \end{gathered}

so, the slope (m) is 1/2

Step 2

now, we need the y-intercept(b), if we have the graph, the simplest way to find the y-intercept is by watching the point where the line crosses the y-axis, in this case


y-\text{intercept}=-1

so, we have

slope=m=1/2

y-intercept=-1

replace


y=mx+b\rightarrow y=(1)/(2)x-1

so, the answer is


y=(1)/(2)x-1

I hope this helps you

User TFBW
by
8.5k 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