SOLUTION: For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-intercept)

Algebra ->  Linear-equations -> SOLUTION: For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-intercept)       Log On


   



Question 623254: For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-intercept)

Answer by lwsshak3(11628) About Me  (Show Source):
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For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-intercept)
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Equation for a straight line: y=mx+b, m=slope, b=y-intercept
slope of given line=∆y/∆x=change in y/change in x=rise/run=(87-53)/6-4=34/2=17
Equation: y=17x+b
solve for b using coordinates of one of given points (4,53)
63=17*4+b
b==-5
Equation: y=17x-5
..
slope,M =17
y-intercept=-5