Question

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –x + 9 y = –x + 5 y = –3x – 11y y = –3x + 25

Answer 1

Step
`1`

Find the slope of the line

we know that

the formula to calculate the slope between two points is equal to

`m=((y2-y1))/((x2-x1))`

Let

`A(-6,7)\\B(-3,6)`

substitute the values

`m=((6-7))/((-3+6))`

`m=((-1))/((3))`

`m=-1/3`

Step
`2`

with the slope m and the point
`A(-6,7)` find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

`y-y1=m*(x-x1)`

substitute the values

`y-7=(-1/3)*(x+6)`

`y=(-1/3)x-2+7`

`y=(-1/3)x+5`

therefore

the answer is

`y=(-1/3)x+5`