Answer:
y + 4 = -³/₅(x + 5) {the point-slope form of the equation }
y = -³/₅x - 7 {the slope-intercept form of the equation}
3x + 5y = - 35 {standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is : y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through.
m = -³/₅
(-5, -4) ⇒ x₀ = -5, y₀ = -4
Therefore:
y - (-4) = -³/₅(x - (-5))
y + 4 = -³/₅(x + 5) ← the point-slope form of the equation
y + 4 = -³/₅x - 3 {subtract 4 from both sides}
y = -³/₅x - 7 ← the slope-intercept form of the equation
³/₅x + y = - 7 {multiply both sides by 5}
3x + 5y = - 35 ← standard form of the equation
