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Take a Test - calvin lam - Microsoft Edge https/www.mathdl.com layerTest.asptestld-175109677& centerwin-yes Math 045 - Combo Elem & Inter Algebra Spring 2018 calvin lam&1 415/18 7:47 PM Quiz: Quiz 6 (Ch.7) Time Remaining: 00:56:28 Submit Quiz This Question: 1 pt 43 of 10 (0 complete) I This Quiz: 10 pts possible Write an equation in slope-Intercept form of the line that satisties the given conditions. Through (-8, 8 parallel to -x+8y 24 The (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) equation of the line is Enter your answer in the answer box. ID 747 PM 4/5/2018

Explanation / Answer

The slope –intercept form of the equation of a line is y = mx+c, where m is the slope and c is the y-intercept. Here, the given line is parallel to the line –x+8y = 24 or, 8y = x+24 or, y = (1/8)x +3. Thus, the slope of the given line is m = 1/8. On substituting m = 1/8 in its equation, it changes to y = (x/8) +c. Further, the given line passes through the point (-8,-8) so, on substituting x = -8 and y = -8 in its equation, we get -8 = -8/8 +c or, -8 = -1+c so that c = -8+1 = -7.

Thus, the equation of the given line is y = x/8-7.

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