SOLUTION: Can someone please help me with this problem graph the line containing the given pair of points and find the slope. (1,2), (-6,-5) slope of the line? Thank you to whom ever gets

Algebra ->  Graphs -> SOLUTION: Can someone please help me with this problem graph the line containing the given pair of points and find the slope. (1,2), (-6,-5) slope of the line? Thank you to whom ever gets      Log On


   



Question 216561: Can someone please help me with this problem
graph the line containing the given pair of points and find the slope.
(1,2), (-6,-5) slope of the line?
Thank you to whom ever gets my question and can help me solve it.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To find the slope of a line (m) when you have two points on that line, use:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 The x's and y's are the coordinates of the two given point (1,2) and (-6,-5).
m+=+%28-5-2%29%2F%28-6-1%29
m+=+%28-7%29%2F%28-7%29
highlight%28m+=+1%29 This is the slope of the line.
To graph this line, it is helpful to have the equation of the line.
Let'e use the slope-intercept form: y+=+mx%2Bb and we already know the value of m (m = 1), so...
y+=+%281%29x%2Bb To find b, the y-intercept, substitute the x- and y-coordinates of either one of the two given points. Let's use the first point (1,2).
2+=+%281%29%281%29%2Bb
2+=+1%2Bb Subtract 1 from both sides.
1+=+b Now we can complete the equation and then graph it.
y+=+x%2B1
graph%28400%2C400%2C-7%2C5%2C-5%2C5%2Cx%2B1%29