<PRE><B>Question 124622</B>
Hi! Can I have some help finding an equation of the line through (7, 8) and parallel to the line 4x - y = 5?&lt;br&gt;&lt;br&gt;

To better understand this problem, put the equation in slope-intercept form:
{{{y=4x-5}}}
This shows you that the slope is 4, and the y-intercept is 5. Since parallel lines always have the same slope, you know that the line that runs through (7,8) will have a slope of 4. 
{{{y=4x+b}}}
All you need to know now is the y-intercept.&lt;br&gt;&lt;br&gt;

To find it, plug in (7,8) for x and y.
{{{8=4(7)+b}}}&lt;br&gt;&lt;br&gt;

Multiply:
{{{8=28+b}}}&lt;br&gt;&lt;br&gt;

Subtract 28 from both sides:
{{{-20=b}}}
Now you know the y-intercept. Plug this value into your equation to get your answer.
{{{y=4x-20}}}&lt;br&gt;&lt;br&gt;

To check, add in the values from the coordinate:
{{{8=4(7)-20}}}&lt;br&gt;&lt;br&gt;

Multiply:
{{{8=28-20}}}&lt;br&gt;&lt;br&gt;

Subtract:
{{{8=8}}}</PRE>