When a conditional and its converse are true, you can write them as a single true statement called

A line passes through (0, –7) and has a slope of -2/3. What is the equation of the line in slope-intercept form

babunello [35]

Answer:

the required equation is y = ( -2/3 )x -7

Step-by-step explanation:

Given :- 

the line passes through the point ( 0 , -7 )

)and slope of the line is ( -2/3 )

• To form an equation when one point and it's slope is given ,

• To form an equation when one point and it's slope is given , we use ;

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variables

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet !

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet ! and m is slope of the tangent !!

y1 = -7

x1 = 0

So, putting all the values in the equation we get ,

$(y - ( - 7)) = \frac{( -2 )}{3} (x - 0) \\ \\ y + 7 = \frac{ - 2}{3} x \\ \\ 3y + 21 = - 2x \\ \\ 3y = - 2x - 21$

$3y = - 21 - 2x \\ \\ y = \frac{ - 2}{3} x - \frac{21}{3 } \\ \\ y = \frac{ - 2}{3} x - 7$

• Slope intercept form of the equation

• Slope intercept form of the equation y = mx + c

• Slope intercept form of the equation y = mx + c Where , m is slope of the line

• Slope intercept form of the equation y = mx + c Where , m is slope of the line and c is y intercept !!

[ also , we can directly put the value of c = -7 and m = ( -2/3 ) from given ]

Hence , here m = (-2/3 ) and c = -7

So, the required equation is y = ( -2/3 )x -7

5 0

3 years ago

How do I solve this

Anettt [7]

For the first rectangle:
- Find the distance between (-4, 3) & (-2, 6) and (2, -1) & (-4, 3)
- Multiply the distances to get the area of the rectangle.

For the second rectangle:
- Find the distance between (-4, 4) & (-1, -5) and (2, -4) & (-4, 4)
- Multiply the distances to get the area of the rectangle.

Compare areas to see which one is larger.

6 0

3 years ago

Solve the equation and give the solution 6x – 3y = 3 –2x + 6y = 14

fomenos

Answer:

x=3.9 or 39/10 and y=3.13333 or 47/15

Step-by-step explanation:

Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:

6x-3y=14 and 3-2x+6y=14

Simplify the equations

6x-3y=14 and -2x+6y=11

Now, line the equations up and pick a variable (either x or y) to eliminate

6x-3y=14

-2x+6y=11

In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y

Multiply (6x-3y=14) by 2 to get:

12x-6y=28

Line the equations up and add or subtract the terms accordingly

12x-6y=28

-2x+6y=11

This becomes:

10x+0y=39

Isolate for x

x= 39/10 or x= 3.9

Now substitute the x value into either of the original equations

6x-3y=14

6(3.9)- 3y=14

Isolate for y

23.4-14=3y

3y= 9.4

y= 3.1333 (repeating) or y= 47/15

8 0

3 years ago

Read 2 more answers

Explain answer !! ( WILL GIVE BRAINLEST)

STatiana [176]

After four weeks, they both have the same amount of money. Larissa’s amount of money is constantly decreasing and Chuco’s is constantly increasing. At the four week mark on the graph, their two line intersect, representing that at that point they had the same amount of money.

7 0

3 years ago

Read 2 more answers

2x + y = 5 4x + 2y = 10

Artyom0805 [142]

Answer: x= 5-y/2

y= 5-2x

Step-by-step explanation:

2x + y= 5

4x + 2y=10

Addition of the two equations gives:

6x + 3y = 15

6x= 15- 3y

x= 15-3y/6 or simplified to x = 5-y/2

3y= 15- 6x

y= 15-6×/3 or simplified to y= 5-2x

8 0

4 years ago