A line has a slope of 8 and includes the points (1, z) and (2,8). What is the value of z?
1 answer:
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Answer:
(0, 1)
Step-by-step explanation:
In the picture attached, the question is shown.
From the picture:
- x2 = -4 (x-coordinate of the endpoint)
- y2 = 9 (y-coordinate of the endpoint)
- x1 = 2 (x-coordinate of the startpoint)
- y1 = -3 (y-coordinate of the startpoint)
Ratio m:n, means that m = 1 and n = 2.
Replacing into the formulas:
x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0
y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1
Answer:
Step-by-step explanation:
x+y≥-4
consider x+y=-4
when x=0,y=-4
point is (0,-4)
when y=0,x=-4
point is (-4,0)
draw a line through (0,-4) and (-4,0)
put x=0,y=0
0+0≥-4
which is true.
Hence origin lies on the graph.
graph is on and right of the line.
