Question 37762
We can use the slope formula to determine if these lines are parallel, perpendicular, or neither?
The slope formula is...
{{{m = (y2 - y1)/(x2 - x1) }}}
m = slope of a line, which will determine the relationship of these two lines.
So you can plug in the points that you have...
First line: lets call (–4, –7) and (1, 3) = (x1, y1) and (x2, y2)
So...
{{{m = (3 - (-7))/(1 - (-4)) }}} m ={{{ (10) / (5) }}} m ={{{2}}}
So the slope of this line is 2.
Lets try the next one...
Second line: lets call (2, 6) and (4, 10) = (x1, y1) and (x2, y2)
So...
{{{m = (10 - 6))/(4 - 2)) }}} m ={{{ (4) / (2) }}} m ={{{2}}}
So the slope of this line is also 2.
We know that two lines that have the same slope are parallel.
I hope this helps.
Good Luck!