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grigory [225]
3 years ago
11

-9x+7y=28 find the y intercept

Mathematics
1 answer:
natulia [17]3 years ago
7 0

In slope-intercept form, we have these values (y = mx + b):

m = slope

b = y-intercept

Change the equation from standard form to slope-intercept form.

-9x + 7y = 28

-9x + 9x + 7y = 28 + 9x

7y = 28 + 9x

7y/7 = 28/7 + 9x/7

y = 4 + 9/7x

y = 9/7x + 4

Therefore, the y-intercept is 4.

Best of Luck!

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kherson [118]

Answer:

3/4

Step-by-step explanation:

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4 0
3 years ago
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finlep [7]
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8 0
2 years ago
Use function notation to write the equation of the line.<br><br> please help
umka21 [38]

Therefore the equation of the line in function-form is f(x)=-2x-1

An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.

Slope of a line is defined as the inclination of the line along the positive   x- axis . Slope is calculated by the formula m=\frac{y_2-y_1}{x_2-x_1}. where (x_1,y_1) and (x_2,y_2) are two points on the line.

y-intercept is defined as the point where the line passes through the y-axis.

From the graph we can see that the line passes through (0,-1)and (-1,1)

therefore slope of the line is

m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2

Now we know that the equation of a line passing through a point (x_1,y_1) and with slope m is given by

y-y_1=m(x-x_1)\\

Substituting the values in the equation we get

y-(-1)=-2(x-0)

or, y=-1-2x

Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.

To learn more about the equation of the line visit:

brainly.com/question/21511618

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8 0
1 year ago
Use the linear combination method to solve this system of equations. What is the value of x?
VMariaS [17]

Answer:

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4 0
2 years ago
A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units
Ray Of Light [21]

Answer:

The area of the regular octagon is 293.72\ units^{2}

Step-by-step explanation:

we know that

The area of the regular polygon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter of the regular polygon

a is the apothem

<em>Find the perimeter P</em>

P=8(7)=56\ units

Find the area

A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}

6 0
3 years ago
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