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4 years ago

Write the equation of the line that passes through the point (-6, 1) and has a slope of 1/2

Mathematics

1 answer:

Likurg_2 [28]4 years ago

8 0

Answer:

y = x + 2

i think this is helpful

Step-by-step explanation:

equation= y - 1 = 1

x - -6 2

then you close multiplication

= 2(y -1)= 1(x - -6)

2y - 2 = x - -6

you make Y as a subject

2y = x- -6 + 2

2y = x + 4

then you divide by 2 on both sides

2y = x + 4

2 2 2

y = x + 2

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PLEASE HELP WILL MARK BRAINLIEST

quester [9]

From the side, area is that of a rectangle added to a trapezoid or triangle, depending on how you slice it
.. rectangle + trapezoid = (4 ft)*(24 ft) +(4 ft +8 ft)*(16 ft)/2 = 192 ft^2
.. rectangle + triangle = (4 ft)*(40 ft) +(1/2)*(4 ft)*(16 ft) = 192 ft^2

The side area is multiplied by the width to find the volume.
.. V = (192 ft^2)*(20 ft) = 3840 ft^3 . . . . . . maximum water volume

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That's a pint or so more than 28,725 gallons.

6 0

4 years ago

Write the slope-intercept form of the equation of the line through the given points.

Yuri [45]

<h3>Answer: y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

$m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3$

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept always occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

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As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0

3 years ago

Write the English sentence as an equation in two variables. Then graph the equation.

Oxana [17]

Answer:

y = 8 - x^2

Step-by-step explanation:

"Decreased by ..." means whatever follows is subtracted from whatever came before. "Is" means "equals." So, the square of the x-value (x^2) is subtracted from 8:

y = 8 - x^2