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irga5000 [103]
3 years ago
12

What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8

Mathematics
1 answer:
deff fn [24]3 years ago
3 0
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

y - y_1 = \frac{1}{2}(x - x_1), where (x_1, y_1) represents the points being passed through.

y - 4 = \frac{1}{2}(x + 6)
2y - 8 = x + 6
2y = x + 14
y = \frac{1}{2}x + 7
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Which system of inequalities is represented by the graph?
Tamiku [17]
The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality


red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3

there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


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Sindrei [870]

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Step-by-step explanation:

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3 years ago
Omar has 2 3/4 cup of Joe to make dumplings. If he uses 3/16 cup of Joe for each dumpling how many whole dumplings can Omar make
Fiesta28 [93]

Answer:

44/3 or 14 and 2/3

Step-by-step explanation:

First convert 2 and 3/4 in a improper fraction which gives you 11/4.

Next, you divide 11/4 and 3/16.

It will give you 44/3 which can be 14 and 2/3.

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ray uses a fourth of a gallon of gasoline to drive a distance of 5 1/2 miles at this rate how many miles can you drive on one ga
KIM [24]
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4 0
3 years ago
Read 2 more answers
Need Answer Immediately!!!!!
Fiesta28 [93]
<h2>Answer:</h2>

y = \frac{-5}{4}x + 3

<h2>Step-by-step explanation:</h2>

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c <em>or            </em>-------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope <em>m</em> given by;

m = \frac{y_2 - y_1}{x_2-x_1}

m = \frac{-2-3}{4-0}

m = \frac{-5}{4}

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \frac{-5}{4} into equation (ii) as follows;

y - 3 = \frac{-5}{4}(x - 0)

(iv) Solve for y from (iii)

y - 3 = \frac{-5}{4}x

y = \frac{-5}{4}x + 3 [This is the slope intercept form of the line]

Where the slope is \frac{-5}{4} and the intercept is 3

8 0
3 years ago
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