The slope of a line segment is 3/4. The segment has end points D (8, -5) and E (k, 2). What is the value of k? [Please help! Thank you!!]
1 Answer
May 17, 2018
Explanation:
#"calculate the slope m using the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(8,-5)" and "(x_2,y_2)=(k,2)#
#rArrm=(2-(-5))/(k-8)=7/(k-8)#
#"we are given "m=3/4#
#rArr7/(k-8)=3/4larrcolor(blue)"cross-multiply"#
#rArr3(k-8)=28#
#"divide both sides by 3"#
#rArrk-8=28/3#
#"add 8 to both sides"#
#rArrk=28/3+24/3=52/3#
