How do you write an equation for each line in point-slope form and slope-intercept form if slope=4, passing through (1,3)?

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How do you write an equation for each line in point-slope form and slope-intercept form if slope=4, passing through (1,3)?

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Answer 1 · 2015-04-03T13:06:34

For #(x,y)# on a straight line and a fixed point #(a,b)# also on the line, the constant slope, #m# is
#(y-b)/(x-a) = m#
(that is, the change in #y# divided by the corresponding change in #x#)

For the given example, we have
#(y-3)/(x-1) = 4#

Simplified as
#y-3 = 4(x-1)#
for point-slope form

and
#y = 4x-1#
for point-intercept form

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How do you write an equation for each line in point-slope form and slope-intercept form if slope=4, passing through (1,3)?

1 Answer

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