SOLUTION: A line passes through (7, –6) and (8, –5). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.

Algebra ->  Linear-equations -> SOLUTION: A line passes through (7, –6) and (8, –5). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.      Log On


   

Question 389422: A line passes through (7, –6) and (8, –5).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(7, –6) and (8, –5).

 [-5 -(-6)] / (8-7) = 1/1   m = 1

the standard slope-intercept form for an equation of a line is: y = mx + b  

where m is the slope and b the y-intercept. 

y = 1*x + b  using order pair pt(7,-6) to solve for b

-6 = 7 + b

-13 = b

y = x - 13

In standard form:

 x -y = 13