SOLUTION: Please help me solve this hw question Find a slope-intercept form equation for the line Through (3,3) with slope of -2/5

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Question 992577: Please help me solve this hw question
Find a slope-intercept form equation for the line Through (3,3) with slope of -2/5
Found 2 solutions by MathLover1, jim_thompson5910:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a slope-intercept form equation for the line is
y=mx%2Bb where m is a slope and b is y-intercept
given: the line passes through (3,3) and has slope of m=-2%2F5
so far we have y=-%282%2F5%29x%2Bb
now use given point (3,3) to find b
3=-%282%2F5%293%2Bb
3=-%286%2F5%29%2Bb
3%2B%286%2F5%29=b
15%2F5%2B6%2F5=b
21%2F5=b
b=4.2
so, your equation is: y=-%282%2F5%29x%2B4.2


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y-y%5B1%5D=m%28x-x%5B1%5D%29 Point Slope form


y-y%5B1%5D=%28-2%2F5%29%28x-x%5B1%5D%29 Plug in the given slope


y-3=%28-2%2F5%29%28x-3%29 Plug in the given point


y-3=%28-2%2F5%29%28x%29-%282%2F5%29%28-3%29


y-3=%28-2%2F5%29x%2B6%2F5


y-3%2B3=%28-2%2F5%29x%2B6%2F5%2B3


y=%28-2%2F5%29x%2B6%2F5%2B15%2F5


y=%28-2%2F5%29x%2B21%2F5