All categories

3 years ago

Graph the linear equation to -2x+7y=-21

Mathematics

2 answers:

mr Goodwill [35]3 years ago

8 0

Answer:

This equation is in standard form, so to make graphing easier you need to put it in y=mx+b form or slope, intercept form.

Step-by-step explanation:

I have attached a photo of what the graph would look like.

However, in the future you should know how to turn this into a slope intercept equation.

-2x+7y=-21

+2x +2x

7y=2x-21

divide the entire equation by 7

y= 2/7x-3

That is a full equation in slope intercept form.

Hopefully this helps!

Maru [420]3 years ago

7 0

Your points should be (0,-3),(21/2,0) and the slope is 2/7 so just go up 2 units from each point and 7 to the right.

You might be interested in

The formula for converting the length from meters to centimeters is given as M = . Rewrite the following equation so that C is a

MAVERICK [17]

1 meter is equal to 100 centimeters so half of one meter is 0.5 so half of one centimeter is 50 centimeters.

4 0

3 years ago

(7 + 10i)+(4-10i)-(7-5i)

AleksAgata [21]

Answer:

4 + 5i

Step-by-step explanation:

To calculate this you have to combine the like terms until they cannot be combined any further:

7 + 10i + 4 - 10i - (7 - 5i)

11 + 0i - 7 - 5i

7 & 4 are liked terms so add them together + subtract 10i and 10i

4 + 5i <--- Final answer

Hope this helps!

8 0

3 years ago

Read 2 more answers

At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi

Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

$y = -\frac{1}{8}x^2+4x$ ...........................................(1)

$3y = 2x - 14$ ..............................................(2)

From (2),

$y = \frac{2}{3}x-\frac{14}{3}$ .................................................(3)

Substituting (3) in (1),

$\frac{2}{3}x-\frac{14}{3} = -\frac{1}{8}x^2+4x$

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

$(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) = (-24\times \frac{1}{8}x^2)+(24\times4x)$

$16x - 112 = -3x^2+96x$

$3x^2-80x -112 = 0$

$(x-28)(3x+4) = 0$

$x-28 = 0$ OR $3x+4=0$

$x=28$ OR $x = -\frac{4}{3}$

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

$y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14$

$y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}$

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

6 0

3 years ago

Jamar's car used 1/40 of a gallon to travel 3/8 of a mile. How many miles can the car go on one gallon of gas?

dybincka [34]

Answer:

15 miles.

Step-by-step explanation:

3/8 x 40 = 120/8

now divide,

120/8 = 15

6 0

3 years ago

The slope of the line below is - 8/7

Alja [10]

Answer:

Hey there!

Point slope form:

y-4=-8/7(x-4)

Let me know if this helps :)

6 0

3 years ago