Answer:
[tex] y = -\frac{5}{2}x + 6 [/tex]
Step-by-step explanation:
Using a point (4, -4) and the slope of the line that passes through it, m = -⁵/2, we can generate an equation by using the point-slope form equation of a line given as y - b = m(x - a).
Where,
(a, b) = (4, -4)
m = -⁵/2
Plug in the values
y - (-4) = -⁵/2(x - 4)
y + 4 = (-5x + 20)/2
Multiply both sides by 2
2y + 8 = -5x + 20
Subtract both sides by 8
2y = -5x + 20 - 8
2y = -5x + 12
Divide both sides by 2
y = -⁵/2x + 12/2
[tex] y = -\frac{5}{2}x + 6 [/tex] (equation in slope-intercept form)
