# SOLUTION: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). Any help with this equation would be appreciated. Thank you.

Algebra ->  Algebra  -> Graphs -> SOLUTION: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). Any help with this equation would be appreciated. Thank you.      Log On

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 Click here to see ALL problems on Graphs Question 142430: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). Any help with this equation would be appreciated. Thank you.Found 2 solutions by checkley77, jim_thompson5910:Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!(2,5) & (7,-3) First we find the slope (m) (y2-y1)/(x2-x1) m=(-3-5)/(7-2) m=-8/5 is the slope. now we replace the x & y terms with one set of points & solve for the y intercept (b) in the equation [Y=mX+b] 5=-8/5*2+b 5=-16/5+b 5+16/5=b (25+16)/5=b 41/5=b the y intercept. Thus the equation is: y=-8x/5+41/5 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -8x/5 +41/5). Answer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website!First lets find the slope through the points (,) and (,) Start with the slope formula (note: is the first point (,) and is the second point (,)) Plug in ,,, (these are the coordinates of given points) Subtract the terms in the numerator to get . Subtract the terms in the denominator to get So the slope is ------------------------------------------------ Now let's use the point-slope formula to find the equation of the line: ------Point-Slope Formula------ where is the slope, and is one of the given points So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Distribute Multiply and to get Add to both sides to isolate y Combine like terms and to get (note: if you need help with combining fractions, check out this solver) ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line which goes through the points (,) and (,) is: The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver) Graph of through the points (,) and (,) Notice how the two points lie on the line. This graphically verifies our answer.