Answer:
2x+3y+5=0
a = 2 b = 3 c=5
Step-by-step explanation:
We are asked to express 2x+3y=-5 in the form ax+by+c=0
Add 5 to both sides
2x+3y+5=0
We can now find the values of a, b and c now that the equation is in standard form.
6X + 10 Y = 240
Rewriting this in slope intercept form
10y = -6x+240
y = -6/10x + 240/10
y = -.6x + 24
We know that x and y cannot be less than 0
The y intercept is 24 and the x intercept ( where y=0) is 40
To find the x intercept let y = 0
0 = -.6x + 24
-24 = -.6x
-24/.6 = -.6x/-/6
40 =x
If the budget is reduced by 25%, that means 240 is 25% less or 75% of the original value
75% of 240 = .75*240 or 180
6x+10y = 180
10y = -6x+180
y = -.6x+18
The y intercept is 18 and the x intercept is 30
If the price of x doubles
6 will become 12
12x+10y = 240
10y = -12x + 240
y = -1.2x +24
The y intercept is 24 and the x intercept is 20
If the price of y falls to 8
6x+8y = 240
8y = -6x+240
y = -6/8x + 240/8
y = -.75x + 30
The y intercept is 30 and the x intercept is 40
The answer is (7,-1).
x1-y1 and x2-y2 gives you 2-(-5) and 3-4, so you now have a point which is (7,-1) which is the slope.
Perpendicular line : m × m1 = -1
from y =2x-3 , m=2
m1•2 = -1
m1 = -1/2
substitute P in --> y= mx +c
5 = -1/2 (-6) + c
5-3 = c
c = 2
y = -1/2x - 1