Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
B is also correct answer for this question.
So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3
