Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find the equation of the line shown. Enter your answer in point-slope form. (6,0)(0,6)

Sagot :

Answer:

y = -1 (x - 6)

Explanations:

The point - slope form of the equation of a line is:

[tex]y\text{ - y}_1=m(x-x_1)[/tex]

Where m represents the slope, and can be calculated using the equation:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the point (6, 0) and (0, 6)

[tex]\text{This means that x}_1=6,y_1=0,x_2=0,y_2=6[/tex]

Calculating the slope using the formula given above:

[tex]\begin{gathered} m\text{ = }\frac{6-0}{0-6} \\ m\text{ = }\frac{6}{-6} \\ m\text{ = -1} \end{gathered}[/tex]

Substituting the values of m, x1, and y1 into the point slope form of the equation of a line:

y - 0 = -1 (x - 6)

y = -1 (x - 6)

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.