<p>In the xy-plane, line L has equation
y=1/4(x)+3, and line m has equation y=1/2(x)+b. If the lines intersect at the point with coordinates (t,11/5), what is the value of b? </p>
<p>Help will be appreciated.</p>
<p>Anyone?..</p>
<p>I get 19/5, but it’s possible there’s a careless error in my scribbled calculations.</p>
<p>First, substitute into the first equation.</p>
<p>11/5 = 1/4(t) + 3
solve for t = -16/5</p>
<p>Then, substitute into the second equation.</p>
<p>11/4 = 1/2(-16/5) + b
solve for b = 19/5</p>
<p>Thank you so much! Now I see why you substituted y for 11/5. The answer is 1/2 though. But your approach was right, you just made a little miscalculation.</p>