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2 answers:
Answer:
D. y = -x - 1
Step-by-step explanation:
We are using slope-intercept form for this problem.
Since this line is going from upper left to bottom right we know it will have a negative slope.
The line intersects the y-axis at -1, so the <em>b</em> value is -1.
The equation for this line is D. y = -x - 1
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Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope:
*************************************************************************
(k + 2)x + 16y = -19
<u>- (k + 2)x </u> -<u>(k + 2)x </u>
16y = -(k + 2)x - 19
Slope:
**********************************************************************************
and
are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
*
= -1
= 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769