Write an equation in slope form of the line that has the given slope
and passes through the given points: slope 5/2; (-6,7)  Answer must
include explanation

Hi!!


You know that the equation of the line will have the form:
y = a*x + b ; where a is the slope of the line and b is a constant number.

In the problem is stated that a = 5/2, then the equation of the line is:
y = 5/2 * x + b ;

The other thing you know is that the point (-6,7) belongs to the line,
this means that x=-6 and y=7 satisfies the equation of the line, that
is:
7 = 5/2 * (-6) + b = -15 + b

Solving the above equation for b:
b = 7 + 15 = 22

Then the equation of the line is:
y = (5/2)*x + 22


For reference see the following page:
"Slope of a straight line (2) - A complete course in algebra":
http://www.themathpage.com/alg/slope-of-a-line-2.htm


Search strategy:
slope point line


I hope this helps you. Feel free to request for a clarification if you need it.


Regards,
livioflores-ga

Hi bobreb-ga and GA Researchers,

I'd like to give an official GA researcher a chance to answer your
question, but I'd like to point out a useful resource that can help
you and your researchers with your question.  Please keep in mind that
GA Researchers don't typically choose to answer questions that appear
to be homework questions.

Useful resources:
http://mathforum.org/cgraph/

Useful search terms:
graphing slope and intercept

Good luck!
randy_j-ga