Question

find the y - intercept and x - intercept of the line. 5x - 8y = - 15 y - intercept: x - intercept:

Explanation:

Step1: Find y - intercept

Set $x = 0$ in the equation $5x-8y=-15$. We get $- 8y=-15$.

Step2: Solve for y

Dividing both sides of $-8y = - 15$ by $-8$, we have $y=\frac{15}{8}$.

Step3: Find x - intercept

Set $y = 0$ in the equation $5x-8y=-15$. We get $5x=-15$.

Step4: Solve for x

Dividing both sides of $5x=-15$ by $5$, we have $x=-3$.

Answer:

y - intercept: $\frac{15}{8}$
x - intercept: $-3$