Answer:
y + 4 = 2(x - 2)
Step-by-step explanation:
There is an infinite number of possible equation that satisfies this requirement. If the y = -4 when x = 2 in the equation, the point (2, -4) must be a solution to the equation. We can use the point-slope form to create an equation that satisfies this requirement. The point-slope form is:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a solution to the equation.
We know that (2, -4) must be a solution to the equation that we are trying to make. We can use (2, -4) as our (x1, y1). Since having (2, -4) as a solution is our only requirement, the slope can be any real number. I am going to make my slope 2 (you can choose whatever you want). So:
(x1, y1) = (2, -4)
m = 2
Now plug these into out point-slope equation:
y + 4 = 2(x - 2)
Remember, this is just one of infinitely many equations that meets the requirement.
Happy studying. :)
<span>1. You have 3 chances in 12 of picking a pencil ===> 3/12 = 1/4
2 You have 5 chances in 8 of picking a colored pencil ===> 5/8
3. The probability of doing both is the product of the two ===> 1/4 * 5/8 = 5/32 </span>
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Step-by-step explanation:
(x1,y1) = (6,-1)
(x2,y2) = (3,-7)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y + 1)/(-7 + 1) = (x - 6)/(3 - 6)
(y + 1)/-6 = (x - 6)/-3
(y + 1)/2 = (x - 6)/1
y + 1 = 2(x - 6)
y = 2x - 12 - 1
y = 2x - 13
