<prompt> Theha equation bakeng sa mola o fanoeng lintlha tse peli moleng.Ntlha ea A2, 3 le Ntlha ea B-1, 1  <response>: Instruction in English: Construct an equation for a line given two points on the line. . Response in English: To find the equation of a line passing through two points, you can use the formula for the slope of a line, and the point-slope form of a line equation.First, lets find the slope of the line. The formula for the slope m of a line passing through the points x1, y1 and x2, y2 is m y2 - y1x2 - x1. In this case, the two points are A2, 3 and B-1, 1, so x1, y1 2, 3 and x2, y2 -1, 1. Plugging these values into the formula gives us:m y2 - y1x2 - x1 1 - 3-1 - 2 -2-3 23The slope of the line is 23.Next, we can use one of the points on the line either A or B and the point-slope form of a line equation to find the equation for the line. The point-slope form of a line equation is y - y1 mx - x1, where x1, y1 is a point on the line and m is the slope of the line. Lets use point A2, 3 to write the equation of the line in point-slope form:y - 3 23x - 2To write the equation in slope-intercept form y mx b, we can solve for y:y - 3 23x - 2y - 3 23x - 43y 23x - 13Therefore, the equation of the line passing through points A2, 3 and B-1, 1 is y 23x - 13. . Response in Sesotho: Ho fumana equation ea mola o fetang lintlheng tse peli, u ka sebelisa foromo bakeng sa moepa oa mola, le mofuta oa ntlha-moepa oa equation ea mola. Pele, a re fumaneng moepa oa mola. Foromo ea moepa m oa mola o fetang lintlheng x1, y1 le x2, y2 ke m y2 - y1x2 - x1. Tabeng ena, lintlha tse peli ke A2, 3 le B-1, 1, kahoo x1, y1 2, 3 le x2, y2 -1, 1 . Ho kopanya boleng bona foromong ho re fa: m y2 - y1x2 - x1 1 - 3-1 - 2 -2-3 23 Moepa oa mola ke 23. Ka mora moo, re ka sebelisa e ngoe ea lintlha tse moleng ebang ke A kapa B le mokhoa oa ntlha-moepa oa equation ea mola ho fumana equation bakeng sa mola. Sebopeho sa ntlha-moepa sa equation ea mola ke y - y1 mx - x1, moo x1, y1 e leng ntlha moleng me m e le moepa oa mola. Ha re sebeliseng ntlha A2, 3 ho ngola equation ea mola ka mokhoa oa moepa oa ntlha: y - 3 23x - 2 Ho ngola equation ka mokhoa oa ho thibela letsoapo y mx b, re ka rarolla bakeng sa y: y - 3 23 x - 2 y - 3 23x - 43 y 23x - 13 Ka hona, equation ea mola o fetang lintlheng A2, 3 le B-1, 1 ke y 23x - 13. 