Answer:
3x + 2y = 31
Step-by-step explanation:
Solve the given equation for y to determine the slope of this line:
-3y = -2x = -18, so that y = (2/3)x + 6.
Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.
Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:
5 = (3/2)(-7) + b, or (after multiplying all terms by 2):
10 = -21 + 2b, or 2b = 31, or b = 31/2.
Then the equation is y = (-3/2)x + 31/2.
Let's put this into standard form. Multiply all terms by 2, obtaining:
2y = -3x + 31, or
3x + 2y = 31 This is the equation of the perpendicular line in question.
They biked 120 km
they bussed 80 km
because 120 + 80 = 200 and 120 is 40 more than 80
Answer:
6x - 3y = 3 and 2x - y = 4
x - 2y = -2 and x - 2y = 2
Step-by-step explanation:
Any two linear equations that are parallel to each other on a graph will work because parallel lines never cross each other. Therefore, there would be no solutions.
Hope this helps!!
The total cost of the popcorn depends on the number of popcorn orders purchased.