Answer:
To find the x intercept, let y=0. To find the y-intercept, let x=0. Hence, the x-intercept of the given equation is -2 and the y-intercept is -5/2.
Step-by-step explanation:
Let - 5x - 4y = 10 be the given equation.
Simplify the whole equation by dividing both sides by -1 :
To get the x-intercept, simply let y=0 :
- 5x + 4(0) = -10 (substitution)
- 5x = -10 (evaluate)
- x = -2 (simplify by dividing both sides of the equation by 5)
To get the y-intercept, simply let x=0 :
- 5(0) +4y = -10 (substitution)
- 4y = -10 (evaluate)
- y = -10/4 (simplify by dividing both sides of the equation by 4)
- y = -5/2 (simplify the fraction)
