SOLUTION: The line containing A(0,7) and B(7,0) Find: M= ? Point slope form= ? Slope intercept form= ? Standard form= ?

Question 825796: The line containing A(0,7) and B(7,0)
Find:
M= ?
Point slope form= ?
Slope intercept form= ?
Standard form= ?
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!

(completed solution here.)

Hi, there--

THE PROBLEM:

The line containing A(0,7) and B(7,0)
Find:
M= ?
Point slope form= ?
Slope intercept form= ?
Standard form= ? 

A SOLUTION:

Find the slope M of the find between these two points.





The slope of this line is -1.

Find the equation for the line in point-slope form. For point-slope form we need the slope and one point. I'll use point A but either one will work. Point-slope form is


Substitute values for the coordinates for point A and the slope.


This is the equation in point-slope form.


Rewrite this equation in slope-intercept form. Slope-intercept form looks like y=mx+b.



Simplify the right side.


Isolate y on the left. Simplify. This is the equation in slope-intercept form.


Rewrite the equation in standard form. Standard form looks like Ax + By = C, where A, B, and C are constants.



Add x to both sides.



Hope this helps! Feel free to email if you have any questions.

Mrs. Figgy
math.in.the.vortex@gmail.com

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