Answer:
Given the equation 8 + 3y = 2·(x+5)
slope=2/3
y- intercept= (0, 2/3) or y= 2/3.
x-intercept= (-1, 0) or x = -1.
Step-by-step explanation:
Given 8 + 3y = 2·(x+5) ⇒ 8 + 3y = 2x + 10 ⇒ 3y = 2x + 10 -8 ⇒ 3y = 2x + 2
⇒ y = (2/3)x + 2/3.
Here slope = 2/3 and y-intercept = 2/3.
To find x-intercept, we have to calculate the value of "x" when y =0.
⇒ 0 = (2/3)x + 2/3 ⇒ 0 - 2/3 = (2/3)x ⇒ -2/3 = (2/3)x ⇒ (-2/3)/(2/3)= x
⇒ x =-1.
