# SOLUTION: Hello, I need help with two problems. 1. Find the slope of the line containing the given pair of points. If the slope is undefined state so (5,3) and (8,-4) 2. Select the line

Algebra ->  Algebra  -> Graphs -> SOLUTION: Hello, I need help with two problems. 1. Find the slope of the line containing the given pair of points. If the slope is undefined state so (5,3) and (8,-4) 2. Select the line       Log On

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 Click here to see ALL problems on Graphs Question 243697: Hello, I need help with two problems. 1. Find the slope of the line containing the given pair of points. If the slope is undefined state so (5,3) and (8,-4) 2. Select the line that has the given slope and y intercept. slope -1/5, y intercept (0,-2)Found 2 solutions by jim_thompson5910, stanbon:Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website!# 1 Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and is # 2 If you want to find the equation of line with a given a slope of which goes through the point (0,-2), you can simply use the point-slope formula to find the equation: ---Point-Slope Formula--- where is the slope, and is the given point So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Rewrite as Distribute Multiply and to get Subtract 2 from both sides to isolate y Combine like terms ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line with a slope of which goes through the point (0,-2) is: which is now in form where the slope is and the y-intercept is Notice if we graph the equation and plot the point (0,-2), we get (note: if you need help with graphing, check out this solver) Graph of through the point (0,-2) And we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (0,-2), this verifies our answer. Answer by stanbon(57203)   (Show Source): You can put this solution on YOUR website!1. Find the slope of the line containing the given pair of points. If the slope is undefined state so (5,3) and (8,-4) --- slope = (-4-3)/(8-5) = -7/3 ----------------------------------- 2. Select the line that has the given slope and y intercept. slope -1/5, y intercept (0,-2) You have the slope and intercept. Put them into the form: y = mx + b where m is the slope and b is the intercept. Equation: y = (-1/5)x-2 ====================== Cheers, Stan H.