SOLUTION: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't fi

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't fi      Log On


   

Question 1163006: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't figure out how to get there.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Given two ordered pair, wanting equation of line in standard form:

Slope, %285%2F2-%28-1%2F2%29%29%2F%28-1%2F2-%283%2F2%29%29=-3%2F2

Pick either point, as example, (3/2,-1/2).
y=mx%2Bb
y-mx=b
b=y-mx
b=-1%2F2-%28-3%2F2%29%283%2F2%29
b=7%2F4
In slope-intercept form, y=-%283%2F2%29x%2B7%2F4

y%2B%283%2F2%29x=7%2F4
Multiply both sides by 4.
4y%2B6x=7
highlight%286x%2B4y=7%29

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

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.