Question

(1,2)   with a slope of−4/5

Answer 1

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!