Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Write an equation of a line that is perpendicular to y=-2x+6 and passes through (-4,7)

Sagot :

Yoonglsleftfoot

Answer: y= x/2+9

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=6−2x.

The slope of the perpendicular line is negative inverse: m=1/2.

So, the equation of the perpendicular line is y=x/2+a.

To find a, we use the fact that the line should pass through the given point: 7=(1/2)⋅(−4)+a.

Thus, a=9.

Therefore, the equation of the line is y=x/2+9.

Answer: y=x/2+9.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.