What is the equation in point-slope form and slope intercept form of the line given slope 3⁄5 that passes through the point (10, −2)?

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Answer 1 · 2015-06-01T13:47:19

point-slope form: #y-y_1=m(x-x_1) m=slope and (x_1,y_1)# is the point
slope-intercept form: #y=mx+c#

1)#y-(-2)=3/5(x-10) =>y+2=3/5(x)-6 #

#5y-3x-40=0#

2)#y=mx+c#
#-2=3/5(10)+c=>-2=6+c=>c=-8#(which can be observed from the previous equation also)

#y=3/5(x)-8=>5y-3x-40=0#