Answer:
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x-2 ----> equation of the line into slope intercept form
2x+5y=-10 ----> equation of the line in standard form
Step-by-step explanation:
step 1
Find the slope of the given line
we have
5x-2y=-6
isolate the variable y
2y=5x+6
y=2.5x+3
The slope m of the given line is m=2.5
step 2
Find the slope of the line perpendicular to the given line
We know that
If two lines are perpendicular, then their slopes are inverse reciprocal each other
so
m1=5/2
the inverse reciprocal is
m2=-2/5
step 3
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-2/5
point (5,-4)
substitute
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x+2-4
y=-(2/5)x-2 ----> equation of the line into slope intercept form
Multiply by 5 both sides
5y=-2x-10
2x+5y=-10 ----> equation of the line in standard form
X< -4
You need to do inverse operations and add 12 to both sides.
Since 36/9= 4
3600/9=400
<span>-Hope this helps :)</span>
Answer:
(4,-1)
Step-by-step explanation:
You can solve this system of equations in a couple of different ways, but I'm going to use the elimination method. If you're solving a system of equations using elimination, you want to have one variable cancel out. In this case, we don't have to change anything because -3y and 3y will already cancel out if we add the two equations together. You can both add or subtract, but it's easiest to add in this case. The equation will be set up like this: 2x-3y=11
+ 7x+3y=25
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After you add them together, you should get 9x=36, which you can solve by dividing both sides by 9. Then, you'll get x=4. This is your x-coordinate. Next, you want to get your y-coordinate, so you can substitute 4 into one of the two equations for x and solve for y. This will get you -1 for y. I'd also recommend checking your answer. Hope this was helpful! :)
