What is the y intercept for a line with point (7,9) slope 1/2?

1 Answer
Rafael
Oct 3, 2015

#b=5.5#

Explanation:

We can easily find the y-intercept by finding the equation of the line in the slope-intercept form #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

We are given the slope #1/2#, which we can substitute to #m#.
#y=mx+b#
#y=1/2x+b#

Now to solve for #b# we will make use of the point (7,9). We will simply substitute them into #x# and #y#.
#9=1/2(7)+b#
#9=3.5+b#
#9-3.5=b#
#color(red)(b=5.5)#

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