The graph shows the location of all solutions for some linear equation. The coordinates of two of the points are labeled. Which linear equation matches this graph?
A)
x + y = 6
B)
y = 2x + 4
3x + y - 9
D
y = -2(x - 5) -6

Option D

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

From the graph attached,

y-intercept = 4

Since, slope of the line passing through two points and is given by,

m =

Therefore, slope of the line passing through (-2, 8) and (5, -6) will be,

m =

m =

m = -2

Therefore, equation of the line will be,

y = -2x + 4

Equations given in the options A, B, and C are not matching with our equation.

Simplify the equation given in Option D,

y = -2(x - 5) -6

y = -2x + 10 - 6

y = -2x + 4

Therefore, Option D is the answer.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.