addie95
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Determine the equation, in slope-intercept form, for the line that is
Y = 1/2x-4
perpendicular to 2 and contains the point (4,1).

Sagot :

djtwinx017
Perpendicular lines have negative reciprocal slopes.

Let the slope of the linear equation, y = 1/2x — 4 be m1 = 1/2

And the slope of the line perpendicular to y = 1/2x — 4 as m2,

Then it means that the slope of m2 must be -2 (because if you multiply 1/2 with -2, the result will be - 1).

Now that we have our slope for m2, we can find out the equation of the line by using point (4,1) and slope (m) = -2. Plug these values into the slope-intercept form:

y = mx + b
1 = -2(4) + b
1 = -8 + b
Add 8 to both sides to solve for y-intercept, b:
1 + 8 = -8 + 8 + b
9 = b

Since the y-intercept, b = 9, and slope m2 = -2, we can establish the linear equation of the perpendicular line:

y = -2x + 9

Please mark my answers as the Brainliest if you find this explanation helpful :)
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.