Question 878874
the question says find the equation  for the line that is parallel  to the line with the equation of (y-5)=1/2(x+1) passing through the point (-4,-5)
<pre>
The equation: {{{y - 5 = (1/2)(x + 1)}}} has a slope of {{{1/2}}}
The equation being formed will have the same slope, {{{1/2}}} since the lines of both equations are parallel
Using the slope, {{{1/2}}}, the point (- 4, - 5), and the point-slope formula: {{{y - y[1] = m(x - x[1])}}}, we get:
{{{y - - 5 = (1/2)(x - - 4)}}}
{{{y + 5 = (1/2)(x + 4)}}}
{{{y + 5 = (1/2)x + 2)}}}
{{{y = (1/2)x + 2 - 5)}}}
{{{highlight_green(highlight_green(y = (1/2)x - 3))}}}