Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
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Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
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Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
Answer:
(-6,0), (-5,-1), and (-1,-2)
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Step-by-step explanation:
0+3(-3) greater than or equal to -8
-9 greater than or equal to -8
No
-16+3(2) greater than or equal to -8
-10 greater than or equal to -8
No
-6+3(0) greater than or equal to -8
-6 greater than or equal to -8
Yes
-5+3(-1) greater than or equal to -8
-8 greater than or equal to -8
Yes
-1+3(-2) greater than or equal -8
-7 greater than or equal to -8
Yes
Answer:
12 * 50 = 600
Step-by-step explanation:
We have to multiply 12 by 50
<u>Short cut method for multiplying a number by 50</u>
Step 1: Take the half of the given number
Step 2: Multiply the result by 100
<u>To find the short cut method to multiply 12 by 50</u>
Here the number is 12
Step 1: divide the number by 2
12/2 = 6
Step 2: Multiply 6 by 100 we get 600
Therefore 12 * 50 = 600
I think it's a but I'm not for sure
