First, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)
(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)
m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7
now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b
(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b
so plug all of it into y = mx + b:
y = (-8/7)x - 4/7
Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Answer:
-x-15
Step-by-step explanation:
x-2x-15
1x-2x-15 (if a term doesn't have a coefficient then the coefficient is 1)
(1-2)x-15 (collect like terms by subtracting their coefficients)
-1x-15
-x-15 (when the term has a coefficient of -1, the number doesn't have to be written but the sign remains)