Respuesta :
Step-by-step explanation:
Hey there!!
You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).
Here, the points are, (4,8) and (-1,-12).
Using two point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Keep all values,
[tex](y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)[/tex]
Now, simplify them.
[tex](y - 8) = 5(x - 4)[/tex]
y - 8 = 5x -20
5x -y -20+8 = 0
Therefore, 5x - y -12 = 0 is the required equation.
Hope it helps...