Question 63105
Fine the value of r so the line that passes through each pair of points has the given slope.

(-4,3), (r,5), m=1/4
The slope formula is {{{highlight(m=(y2-y1)/(x2-x1))}}}
m=1/4, (x1,y1)=(-4,3) and (x2,y2)=(r,5)
{{{1/4=(5-3)/(r-(-4))}}}
{{{1/4=2/(r+4)}}}  Cross multiply.
{{{1*(r+4)=2(4)}}}
{{{r+4=8}}}
{{{r+4-4=8-4}}}
{{{highlight(r=4)}}}
Happy Calculating!!!