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

Answer:

[see below]

Step-by-step explanation:

Finding the slope of the two points:

$m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}$

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 $6x+y=1$.