Question 159449
Determine the value of "r" so the line that passes through each pair of points has the given slope
(6,3)(r,2) slope= 1/2
:
Use the slope formula: {{{((y2-y1))/((x2-x1))}}} = m
;
Assign the given values as follows:
x1=6; y1=3
x2=r; y2=2
m = 1/2
:
{{{((2-3))/((r-6))}}} = {{{1/2}}} = {{{((-1))/((r-6))}}} = {{{1/2}}}
Cross multiply:
r - 6 = 2(-1)
r = -2 + 6
r = +4
;
;
Check solution; x2=4:
{{{((2-3))/((4-6))}}} = {{{1/2}}} 
{{{((-1))/((-2))}}} = {{{1/2}}}