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

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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) About Me  (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.

M=%28y%5BB%5D-y%5BA%5D%29%2F%28x%5BB%5D-x%5BA%5D%29
M=%280-7%29%2F%287-0%29
M=-1

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
y-y%5BA%5D%29=M%2A%28x-x%5BA%5D%29

Substitute values for the coordinates for point A and the slope.
y-%287%29=%28-1%29%2A%28x-%280%29%29

This is the equation in point-slope form.
y-7=-%28x-0%29

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

y-7=-%28x-0%29

Simplify the right side.
y-7=-x

Isolate y on the left. Simplify. This is the equation in slope-intercept form.
y=-x%2B7

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

y=-x%2B7

Add x to both sides.
x%2By=7


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

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