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Safarl File Edit View History Bookmarks Window Help PreCalculus Summer18 Ba Homework: HW #5 Score: 0 of 1 pt 1.5.23 7 of 26 (25 complete) Write the slope-intercept equation of the function fwhose graph satisifies the given conditions The graph of f passes through (-6.6) and is perpendicular to the line that has an x-intercept of 4 and a y-intercept of -8. The equation of the function is (Use integers or fractions for any numbers in the equation.) i(a)More Enter your answer in the answer box and then click Check Answer All parts showing Clear All 4 lab

Explanation / Answer

According to question , we have given a line (L1) passing through points (4,0) and (0,-8)

which is perpendicular to the required line(L2) passes through point (-6,6) .

Therefore, slope of L1 = (y2-y1)=m(x2-x1)

(-8-0)=m1(0-4)

m1=2

since L1 is perpendicular to L2

therefore slope of L2 is m2 =-1/2 (m1m2=-1)

and the eqn is (y-6)= -1/2(x+6)

x+2y=6

the y intercept (c) of line L1 =>

0+2y=6

c= y=3

So, the eqn of the required line L2 in slope intercept form is y=mx+c

where c is a y intercept and x and y are the arbitrary points

y=-1/2x+3

  

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