Write an equation that represents the line. Use exact numbers (i will mark you brainliest)✅

y=4/5x-18/5

Step-by-step explanation:

there are multiple ways we can find the slope, let's use two points and the point slope form y=mx+b for this equation. we can find the slope by using the equation

in this case, we can use the two points (-3,-6), (2,-2)

y2=-2, y1=-6, x2=2, x1=-3

so, the equation is

this reduces to 4/5

our slope is 4/5, so the equation for now is y=4/5x+b

let's use (2,-2) to find b. the y is -2, x is 2

-2=4/5(2)+b

-2=8/5+b, multiply both sides by 5:

-10=8+5b, subtract 8 from both sides

-18=5b, divide by 5

-18/5=b

our final equation is y=4/5x-18/5

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.