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Question 79518: Hello out there,I have some point-slope problems that I need help with,the first one is,Write the point-slope form of the line that passes through (4,-1) with the slope of 2.The next one is,Write the point-slope form of the line that passes through (3,-3)and (5,1).The third one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1).And the last one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=0,(0,-3).Thank you to whoever can help.
Answer by tutor_paul(519)   (Show Source):
You can put this solution on YOUR website! The slope of a line is the change in Y divided by the change in X, or 
In the first part, you are given the slope, m, and a single point. So from that information, you know that
Simplifying...
Now, you just have to re-write it in the point-slope form, which involves just re-writing the y2 and X2 as y and x respectively and solving for the y+1 term:
Now that I have shown you how to write a line in point-slope form, you should be able to do the second part.
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Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1)
Recall tha slope-intercept forn of a line is:
 where m=slope and b=Y-intercept.
So, your first step is to find the Y-intercept:
Remember that:
The Y-intercept is the point where x2=0. So, equate x2 to zero in the above equation and solve for y2:
y2=11.
So now that you know the slope and the Y-intercept, it is easy to write the equation:
With this information, you should be able to do the last part of the problem yourself.
Good Luck,
tutor_paul@yahoo.com
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