SOLUTION: write an equation in standard form of the line that has y-intercept=-4 and passes through (5,-3)

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Question 69046This question is from textbook Algebra 1
: write an equation in standard form of the line that has y-intercept=-4 and passes through (5,-3)
 This question is from textbook Algebra 1

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation in standard form of the line that has y-intercept=-4 and passes through (5,-3)
There are a couple of ways to do this. One way is to use the slope intercept form of a line, highlight%28y=mx%2Bb%29, where m=slope and b=y-intercept.
Let x=5, y=-3 and b=-4 and solve for m.
-3=m%285%29%2B%28-4%29
-3=5m-4
-3%2B4=5m-4%2B4
1=5m
1%2F5=5m%2F5
1%2F5=m
Let m=1/5 and b=-4 and you have the slope intercept form of a line.
y=%281%2F5%29x%2B%28-4%29
y=%281%2F5%29x-4
The standard form of a line is highlight%28Ax%2BBy=C%29, where A,B, and C are integers. Some books also require that A is positive:
5y=5%281%2F5%29x%2B5%28-4%29
5y=x-20
-x%2B5y=x-x-20
-x%2B5y=-20
-1%28-x%29-1%285y%29=-1%28-20%29
highlight%28x-5y=20%29
Happy Calculating!!!!