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.

x = 12

y = 15

step-by-step explanation: