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The line with equation y=hx+k passes through the point (−6,4) and is parallel to the line with equation y=12x+4. What is the value of k?

 Nov 19, 2021
edited by Guest  Nov 19, 2021
 #1
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when two lines are parallel, their slopes are the same

hence h, in the equation y = hx + k, would be 12

to find k, you'd substitue point (-6, 4) into the existing equation:
y = 12x + k

4 = 12(-6) + k

4 = -72 + k

k = 76

 

so the value of k is 76

 

(the equation of the line would thus be y = 12x + 76)

 Nov 19, 2021

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