Answer: F=bill for first shop=4S-$630; S=bill for second shop
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F+S=$3265 Substitute for F
4S-$630+S=$3265
5S=$3895
S=$779 ANSWER 1: The bill for the second shop was $779
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F=4S-$630
F=4($779)-$630
F=$3116-$630=$2486 ANSWER 2: The bill for the first shop was $2486.
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CHECK:
F+S=$3265
$2486+$779=$3265
$3265=$3265
explanation:
Answer:
Distance = 5
Step-by-step explanation:
Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:
5 = m(0) + b
5 = 0 + b
5 = b
To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).
Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2
Our equation is y = -2x + 5
Find the gradient so (-5-3)/(2+1) =-8/3 input it in y=mx+c and also use the coordinates from the question
So it becomes
3=-8/3 (-1) + c
C=1/3
Y=-8/3 x+1/3
