Question 433123
The formula for point-slope form is:
{{{y-y[1]=m(x-x[1])}}}
The formula for finding the slope from 2 points is:
{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
Find the slope first:
{{{m=(-5--6)/(8-7)}}}
{{{m=1/1=1}}}
Then choose one of the points given to use in the pt-slope form, and plug in the slope also.
{{{y--6=1(x-7)}}} This is the equation of the line in point slope form. To change it to standard form:
{{{y+6=x-7}}} simplify a little first, then subtract x from both sides.
{{{-x+y+6=-7}}} then subtract 6 from both sides.
{{{-x+y=-13}}} this is the equation of the line in standard form.