Question

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

Answer 1

y = 3x + 1

Explanation:

You have to use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

First let us find the slope by using the below formula.

For that, let us use the given coordinates.

( -1 , -2 ) ⇒ ( x₁ , y₁ )

(-2 , -5) ⇒ ( x₂ , y₂ )

m =
`(y_1-y_2)/(x_1-x_2)`

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

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

m =
`(3)/(1)`

m = 3

Now we have to find the y - intercept.

For that we can use any coordinate for that.

Let us use ( -1 , -2 ) coordinate.

y = m x + c

-2 = 3 × -1 + c

-2 = -3 + c

- 2 + 3 = c

1 = c

Let us write the equation of the line now.

y = m x + c

y = 3 x + 1

Let me know if you have any other questions. :-)