Question

Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negative 6 x minus 1 y = 6 x minus 1

Answer 1

[see below]

Explanation:

Finding the slope of the two points:

`m=(-17+5)/(3-1)=(-12)/(2)=\boxed{-6}`

The slope is -6.

Using an incomplete slope-intercept form equation to find the y-intercept:

`y=6x+b\\\\-5=6(1)+b\\\\-5=6+b\\\\-5-6=6-6+b\\\\\boxed{1=b}`

The equation for the line passing the points is
`y=-6x+1`.

The equation in standard from would be
`6x+y=1`.