Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: State the slope-intercept form of the equation of a line
[tex]\begin{gathered} y=mx+c \\ where\text{ m is the slope} \\ c\text{ is the y-intercept} \end{gathered}[/tex]STEP 2: Write the given properties
[tex]\begin{gathered} slope(m)=\frac{1}{2} \\ point=(x_1,y_1)=(-1,1) \end{gathered}[/tex]STEP 3: state the formula for using a slope and a point to get the equation of a line
[tex](y-y_1)=m(x-x_1)[/tex]STEP 4: Substitute the given values
[tex]\begin{gathered} (y-1)=\frac{1}{2}(x-(-1)) \\ (y-1)=\frac{1}{2}(x+1) \\ y-1=\frac{x+1}{2} \\ Multiply\text{ through by 2} \\ 2(y-1)=x+1 \\ 2y-2=x+1 \\ 2y=x+1+2 \\ 2y=x+3 \\ y=\frac{x+3}{2} \\ y=\frac{x}{2}+\frac{3}{2} \\ y=\frac{1}{2}x+\frac{3}{2} \end{gathered}[/tex]Hence, the slope-intercept form of the equation of the line with the properties is given as:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.