SOLUTION: What is the equation of the line through the point (-3 , 2) and has x intercept at x = -1.

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Question 1170253: What is the equation of the line through the point (-3 , 2) and has x
intercept at x = -1.
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Through points (-3,2) and (-1,0)

y-2=%28%282-0%29%2F%28-3%2B1%29%29%28x%2B3%29
highlight%28y-2=-%28x%2B3%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What is the equation of the line through the point (-3 , 2) and has x
intercept at x = -1.
He's WRONG, so cross%28highlight%28y-2=-2%28x%2B3%29%29%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The straight line goes through the points  (-3,2) and (-1,0).


The slope value is  %280-2%29%2F%28-1-%28-3%29%29 = -2%2F2 = -1.


An equation if the straight line is


    y - 2 = (-1)*(x - (-3)),   or


    y - 2 = (-1)*(x+3),        or

    y - 2 = -x - 3,            or


    y = -x - 1       (the slope-intersect form)

or

    x + y = -1       (general form).


Choose any of the two forms from the last two equations.

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At this site,  there is a group of lessons related to this class of problems
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points (*)
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point
    - Advanced problems on finding equations for straight lines

    - OVERVIEW of lessons related to the slope of a straight line

The most relevant to your current problem is the lesson marked  (*)  in the list.
So start from this lesson.

But if you want to learn the subject in all its aspects,  you need to learn all these lessons.

Consider them as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.