Question

What is an equation of the line that passes through the points (-2, -5) and (-1, 1)?

Answer 1

Explanation:

(1+5)/(-1+2) = 6/1 = 6

y + 5 = 6(x + 2)

y + 5 = 6x + 12

y = 6x + 7

Answer 2

Answer: y=6x+7

Explanation:

To find the equation of the line, we want to find the slope with the formula
`m=(y_2-y_1)/(x_2-x_1)`.

`m=(1-(-5))/(-1-(-2)) =(6)/(1)=6`

Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.

y=6x+b

1=6(-1)+b [multiply]

1=-6+b [add both sides by 6]

b=7

Now, we know the equation is y=6x+7.