A graph is shown below: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 4,
8, 12, 16, and 20. Points are shown on ordered pairs 0, 16 and 2, 12 and 4, 8 and 6, 4 and 8, 0. These points are connected by a line. What is the equation of the line in slope-intercept form?
1 answer:
Answer:
Graph is image, and equation is from the work result below:
Step-by-step explanation:
Take two points find the slope and y-intercept:
Slope = -2
Y-intercept = (0,16)
Equation =
<u>y = − 2 x + 16</u>
check work for one point (to make sure equation works):
(2,12)
y = -2x + 16
12 = -2(2) + 16
12 = -4 + 16
12 = 12
The equation is correct: <u>y = − 2 x + 16</u>
Image below are the points given:
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Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)
Now, Let GH = <em>x</em>
On rearranging,
So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
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