Will mark brainliest ! what is the equation of the line in standard form? a. x + 3y =5 b. 5x + 3y = 1 c. 3x + 5y = 1 d. x + 5y = 3

 C   3x + 5y = 1

Solution:

Step 1: To find the equation of line first using both the coordinates given on the graph find the slope using the formula below.

The coordinates are ( -3, 2 ) and ( 2, -1)

m = y2-y1/x2-x1

m = -1-2 / 2- (-3)

m = -3 / 5

Step 2: Now to find line of equation of line we need to find the y intercept using the equation:  

y = mx + b

Where  

y = y coordinate  m = slope   x = x coordinate    b = y intercept

Choose any one pair of coordinates to find the y intercept. I will be using  (2,  -1)

y = mx + b

-1 = ( -3 / 5) (2) + b

-1 = -6 / 5 + b       ( Don't forget to take the LCM)

-1 = -6/5 + 5b

-5+6 = 5b

1/5 = b

so the equation of line is

y = -3/5 x + 1/5

5y = -3x + 1

3x + 5y = 1

the answer is 5636.7

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is