In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
point 1 (0, 4) x1 = 0 y1 = 4
point 2 (-4, -8) x2 = -4 y2= -8
equation of the line = ?
Step 02:
slope formula
[tex]m\text{ = }\frac{y2-y1}{x2-x1}[/tex][tex]m\text{ = }\frac{-8-4}{-4-0}=\frac{-12}{-4}=3[/tex]point-slope form of the line
(y - y1) = m (x - x1)
(y - 4) = 3 (x - 0)
y - 4 = 3x
y = 3x + 4
The answer is:
The equation of the line is y = 3x + 4
