Question

Indicate in standard form the equation of the line passing through the given points (6,2) m=-1/2

Answer 1

x + 2y = 10

Explanation:

The standard form of an equation of a line:

`Ax+By=C`

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point

We have the point (6, 2) and the slope m = -1/2. Substitute:

`y-2=-(1)/(2)(x-6)`

Convert to the standard form:

`y-2=-(1)/(2)(x-6)` multiply both sides by 2

`2y-4=-(x-6)`

`2y-4=-x+6` add 4 to both sides

`2y=-x+10` add x to both sides

`x+2y=10`