SOLUTION: the equation of the line through both points (3,-1) ( -2,4). Find or Calculate the x-intercept of that line, the mid-point and the y-intercept.

Algebra ->  Graphs -> SOLUTION: the equation of the line through both points (3,-1) ( -2,4). Find or Calculate the x-intercept of that line, the mid-point and the y-intercept.       Log On


   

Question 765836: the equation of the line through both points (3,-1) ( -2,4). Find or Calculate
the x-intercept of that line, the mid-point and the y-intercept.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
FIND THE SLOPE

%284-%28-1%29%29%2F%28-2-3%29=%285%2F%28-5%29%29=-1
Slope, m, is negative one.
m=-1


FORMULATE THE EQUATION CONTAINING THE TWO POINTS

Various ways to do this, but here is using slope-intercept form.
y=mx%2Bb
y-mx=b
b=y-mx
Take either given point. Here is using (3,-1).
b=-1-%28-1%29%2A3=-1%2B3=2
highlight%28b=2%29

Equation is highlight%28y=-x%2B2%29


AXIS INTERCEPTS

Just found the y-intercept done above, (0,2), the y-intercept.
When y=0,
0=-x+2
x=2, yes, the same value as the y intercept.
x-intercept is (2,0)

graph%28200%2C200%2C-6%2C6%2C-6%2C6%2C-x%2B2%29