The graph is a straight line graph with a slope of -1/2
Equation of a line in point-slope form
The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
Given the following parameters
Point = (-2, 3)
Slope = -1/2
Substitute the given parameters into the formula
y-3 = -1/2(x-(-2))
y-3 = -1/2(x+2)
Write in slope-intercept form
2(y-3) = -(x+2)
2y-2(3) = -x -2
2y - 6 = -x -2
2y = -x + 4
y = -1/2x + 2
The graph of the equation is as shown below
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
Step-by-step explanation:
Begin by grouping the x terms and the y terms together and separating the constants out.
Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:
Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:
This is a circle with a center of (1, 4) and a radius of 3.
Answer:
<h2>5 1/4</h2>
Step-by-step explanation:
3 1/2 = 6/2 + 1/2 = 7/2
He drinks 3 1/2 liters every 2/3 hour means
He drinks (7/2)×(3/2) = 21/4 = 5 1/4 liters in one hour.
:)
Answer:
Step-by-step explanation:
Equation of a line has been given as,
y = -2x + 5
Input-output points lying on the the line are,
x 0 1 2 3
y 5 3 1 -1
Now we can plot these points on the graph and join them to get the line representing the given equation.
(As graph attached)
