SOLUTION: Can you help me find the point slope equation of this line? Line: https://s13.postimg.org/xab4kzsw7/slope.png A.) y - 4 = ½(x - 2) B.) y - 3 = ½(x - 4) C.) y - 3 = 2(x - 2)

Algebra ->  Test -> SOLUTION: Can you help me find the point slope equation of this line? Line: https://s13.postimg.org/xab4kzsw7/slope.png A.) y - 4 = ½(x - 2) B.) y - 3 = ½(x - 4) C.) y - 3 = 2(x - 2)      Log On


   

Question 1045675: Can you help me find the point slope equation of this line?
Line: https://s13.postimg.org/xab4kzsw7/slope.png
A.) y - 4 = ½(x - 2)
B.) y - 3 = ½(x - 4)
C.) y - 3 = 2(x - 2)
D.) y - 4 = 2(x - 4)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
b is at (4,3)
The slope of the line is 1/2
the point slope formula is y-y1=m(x-x1). m is the slope, (x1,y1) the coordinates of the point. Put everything together.
y-3=(1/2)(x-4)
B.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you have two points:
A=(-2,0)
B=(4,3)
so, slope of the line through the points (-2, 0) and (4,3) is
m=%283-0%29%2F%284-%28-2%29%29
m=3%2F%284%2B2%29
m=3%2F6
m=1%2F2

The "point-slope" form of the equation of a straight line is:
y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29+ where x%5B1%5D and y%5B1%5D are the coordinates of A or B
we using this formula, when we know:
one point on the line->in your case B=(4,3)
and the slope of the line ->in your case m=1%2F2
then we have
y+-+3+=+%281%2F2%29%28x+-+4%29+

so, answer is B.) y+-+3+=+%281%2F2%29%28x+-+4%29