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In order to answer this question, we must use Slope-Intercept Form and fill in the missing variables. Slope-intercept form is as follows: y = mx + b, where m = the slope of the line and b = the y-intercept of the line. In this case, the slope is given (slope = -8), so we know that m = -8 in this case. Now, we can use the definition of a slope to find out what the y-intercept is. The definition of a slope is as follows: y2 - y1 ---------------- = slope x2 - x1 What this means is that we must find 2 different points on the line, find the difference between their y-values (or change in y), then divide that number by the difference in their x-values (or change in x). The problem gives us one coordinate (1,7), and we must find the other one using the definition of a y-intercept. The y-intercept is any point in a line where the x-value = 0. So, given this information, we can create the point (0, b) where b = the y-intercept, and plug those values into the definition of a slope to find the value of b: 7 - b 7 - b --------- = -8, ------- = -8, 7 - b = -8, -b = -15, b = 15 1 - 0. 1 Therefore, m = -8 and b = 15. We can plug this into the slope-intercept form and get our final answer: y = -8x + 15 Let me know if you have any questions regarding this explanation. +117847 Melody moderator +33151 Alan moderator +13889 asinus moderator +9445 hectictar +3787 Probolobo +3122 admin administrator+2444 BuilderBoi +2396 GingerAle +1975 saseflower +1224 CubeyThePenguin +1132 nerdiest |