Question 1143557
------------------------------------------------------------------
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7.  Your answer should be given in the form y = mx + b.
 ------------------------------------------------------------------


a:

If you have points (h,k) and (p,v), then slope from one of them to the other is  {{{m=(v-k)/(k-h)}}}.


b:

{{{Ax+By=C}}}
-
To find slope, solve for y in terms of x, and the slope will be the coefficient on the x term.   YOU do that!
To find y-intercept, look at the constant term in what was done to find y in terms of x.  If it was shown as "+b" for some positive b, then that is y-intercept.  If it was shown as "-b" for some positive b, then {{{-b}}} is the y-intercpt.
Alternatively, set x equal to 0 and solve for y, to get y-intercept.


c:

Use the formula for slope.  Solve the resulting equation.