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Perpendicular to y=1/2-1, x-intercept at4

2 Answers

6 votes

Answer:

the desired equation is y = -2x + 8.

Explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line: m = -2.

Recall that at an x-intercept, y = 0. Here we're told that the x-intercept is (4, 0). Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

User Bikal Lem
by
5.3k points
6 votes

Answer:

it would be Y= -2x+4

Explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo 1/2 would change into 2/1 which is 2 and we would addd the negative sign so

Y=-2x+4

User AHmedRef
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6.0k points