Question

Which equation has a slope of -2 and passes through the point (1,-6)?

A. y=-2x-4
B. y=-10x+3
C. y=3x-10
D. y=3x+10

Answer 1

y=-2x-4

Explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

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

Put y₁ = -6, x₁ = 1 and m = -2

`y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4`

Hence, the equation of line is y=-2x-4.