Question

(10-P) Help please, thanks.

Answer 1

The formula of linear equation is:

`y1 - y2 = m(x1 - x2)`
Where
x1 and x2: x coordinates(-1 and 3)
y1 and y2: y coordinates(-2 and 10)
m is the slope

We can then choose a point from the line to find the eqaution.

We need to first find the slope:

`(y1 - y2)/(x1 - x2)`
In this case:

`( - 2 - 10)/( - 1 - 3) \\ = ( - 12)/( - 4) \\ = 3`

In this case, as the y2 is given as 1,put (-1,-2) , and the slope(3 )into the eqaution :

y-(-2) = 3(x-(-1))
y+2 = 3(x+1)

Therefore

`y + 2 = 3x + 1`
is the answer.

Hope it helps!