SOLUTION: What is the slope of any line parallel to the line 9x + 4y = 7 ? since 4y=-9x+7 i think its -9/4 but iam not even sure how i got that im so lost please explain it to me thanks

Algebra ->  Linear-equations -> SOLUTION: What is the slope of any line parallel to the line 9x + 4y = 7 ? since 4y=-9x+7 i think its -9/4 but iam not even sure how i got that im so lost please explain it to me thanks      Log On


   

Question 246357: What is the slope of any line parallel to the line 9x + 4y = 7 ?
since 4y=-9x+7
i think its -9/4 but iam not even sure how i got that im so lost please explain it to me thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

9x%2B4y=7 Start with the given equation.


4y=7-9x Subtract 9x from both sides.


4y=-9x%2B7 Rearrange the terms.


y=%28-9x%2B7%29%2F%284%29 Divide both sides by 4 to isolate y.


y=%28%28-9%29%2F%284%29%29x%2B%287%29%2F%284%29 Break up the fraction.


y=-%289%2F4%29x%2B7%2F4 Reduce.


So the equation y=-%289%2F4%29x%2B7%2F4 is now in slope intercept form y=mx%2Bb where the slope is m=-9%2F4 and the y-intercept is b=7%2F4 note: the y-intercept is the point