What is the equation of the line shown in this graph?

Well, let’s first find the slope, which is y2-y1/x2-x1:

-6/3 = -2

So far, the equation is going to be y=-2x

To find the y-intercept, find the y-value when the x-value is equal to 0. The y-intercept is going to be (0,4)

So, the equation is going to be y=-2x+4

Hope I helped!

y = -2x + 4 --- IN SLOPE INTERCEPT FORM

Step-by-step explanation: (1, 2) & (4, -4)

Y2 - Y1

X2 - X1

-4 - 2

4 - 1

-6

3

SIMPLIFIED: -2 because both -6 & 3 can be divided by 3.

y - Y1 = m(x - X1)

y - 2 = -2(x - 1) --- IN POINT SLOPE FORM

y - 2 = -2x + 2

  + 2          + 2

y = -2x + 4 --- IN SLOPE INTERCEPT FORM

Hope this helps you!!! :)

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

step-by-step explanation:

4  

25

5258y

54.

t5

5r

54

5856

542

5458

86

.8558.65

565

565

55898

786

8/95

5896

8656265

556478