The formula of linear equation is:
[tex]y1 - y2 = m(x1 - x2)[/tex]
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:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
In this case:
[tex] \frac{ - 2 - 10}{ - 1 - 3} \\ = \frac{ - 12}{ - 4} \\ = 3[/tex]
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
[tex]y + 2 = 3x + 1[/tex]
is the answer.
Hope it helps!
