<prompt> Ha u fuoa masakana a mabeli a shebaneng le 1,0 le -1,0 e ngoe le e ngoe e na le radius ea 1, fumana equation ea mola oa tangent ho -1,0.nan  <response>: Instruction in English: Given two circles centered at 1,0 and -1,0 each with a radius of 1, find the equation of the line of tangent at -1,0. . Response in English: A tangent line is a line that touches a curve or circle at only one point. In the case of the two circles you described, the point of tangency for the circle centered at -1,0 would be -1,0, since that is where the line would touch the circle. From here, we can use the slope-intercept form of a line, y mx b, to find the equation of the tangent line. Since the radius of the circle is 1, the tangent line is perpendicular to the radius of the circle drawn from the center to the point of tangency. Thus, the slope of the tangent line is the negative reciprocal of the slope of the radius line. With the circle centered at -1,0 and the point of tangency at -1,0, the slope of the radius line is 0. Any non-zero number multiplied by 0 is 0, and the definition of the reciprocal of 0 is undefined. Thus, the slope of the tangent line is undefined, so the equation of the line is a vertical line, x -1. . Response in Sesotho: Tangent line ke mola o amang mothipa kapa selikalikoe sebakeng se le seng. Tabeng ea li-circles tse peli tseo u li hlalositseng, ntlha ea tangency bakeng sa selikalikoe se bohareng ba -1,0 e ne e tla ba -1,0, kaha ke moo mohala o tla ama selikalikoe. Ho tloha mona, re ka sebelisa mokhoa oa slope-intercept oa mola, y mx b, ho fumana equation ea mola oa tangent. Kaha bophara ba selikalikoe ke 1, mola oa tangent o perpendicular ho radius ea selikalikoe se huloang ho tloha bohareng ho ea sebakeng sa tangency. Ka hona, moepa oa mola oa tangent ke moepa o mobe oa moepa oa radius. Ka selikalikoe se shebaneng le -1,0 le ntlha ea tangency ho -1,0, letsoapo la mola oa radius ke 0. Nomoro efe kapa efe eo e seng lefela e atolositsoeng ka 0 ke 0, me tlhaloso ea ho lumellana. ea 0 ha ea hlalosoa. Kahoo, letsoapo la tangent ha le hlalosoe, kahoo equation ea mola ke mola o otlolohileng, x -1. 