find the x - and y - intercepts of the line 6x + 6y = 10. write your answers as integers or as simplified…

Explanation:

Step1: Find x - intercept

Set y = 0 in 6x + 6y = 10. Then 6x+6(0)=10, which simplifies to 6x = 10. Solving for x gives $x=\frac{10}{6}=\frac{5}{3}$.

Step2: Find y - intercept

Set x = 0 in 6x + 6y = 10. Then 6(0)+6y = 10, which simplifies to 6y = 10. Solving for y gives $y=\frac{10}{6}=\frac{5}{3}$.

Answer:

x - intercept: $\frac{5}{3}$ y - intercept: $\frac{5}{3}$