SOLUTION: I need to write an equation in point-slope form for the line through the given point with the given slope. I don't understand. (0,2);m=4/5

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Question 176469This question is from textbook Virginia Algebra I
: I need to write an equation in point-slope form for the line through the given point with the given slope. I don't understand.
(0,2);m=4/5
This question is from textbook Virginia Algebra I

Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
If you have a point (x1,y1) and a slope m, the equation of the line through that point with that slope is
y-y1=m%28x-x1%29
If you have the slope m and the y-intercept b, the equation of the line is
y=mx%2Bb
Here, your point (x1,y1) is (0,2). Notice though, that this is the y-intercept (x=0 means you are on the y-axis). So you actually know that the y-intercept is 2. So, you can set up the equation directly:
y=%284%2F5%29x%2B2
If you didn't realize this, you could use the first formula I gave you as follows:
y-2=%284%2F5%29%28x-0%29
y-2=%284%2F5%29x
y=%284%2F5%29x%2B2