Here, (x₁, y₁) = (1, 2)
m = -4/5
As we already have slope, we need to calculate constant number (c) as follows:
y = mx + c
2 = -4/5 * 1 + c
2 = -4/5 + c
c = 14/5
We know, equation is y = mx + c
y = -4/5x + 14/5 [ The equation in slope-intercept form ]
Now, if you want the equation in point-slope then, it would be:
y - y₁ = m(x - x₁)
y - 2 = -4/5 (x - 1) [ The equation in point slope form ]
Hope this helps!