Write the standard form of the equation of the line through the given point with the given slope. 4) through: (-4,5), slope = -1/2
A) 3x+6y=-2
B) x + 2 y = 6
C) x-2y = 6
D) x-2y = -6

The standard form of the equation is:

Hence, option B is true.

Step-by-step explanation:

Given

We know the point-slope of the line equation is

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -1/2 and the point (-4, 5)  in the point-slope form

Add 5 to both sides

Writing the equation in the standard form form

As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants

so

Thus, the standard form of the equation is:

Hence, option B is true.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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.