Final answer:
To find the y-intercept of the line 8x–3y=3, set x to zero and solve for y, resulting in the y-intercept being at y = -1.
Step-by-step explanation:
To find the y-intercept of the line 8x–3y=3, set the value of x to zero and solve for y. This is because the y-intercept occurs where the line crosses the y-axis, and at this point, the value of x is always zero.
The equation of the line is 8x - 3y = 3. Let's set x to zero:
8(0) - 3y = 3
0 - 3y = 3
-3y = 3
y = -1
Therefore, the y-intercept of the line is y = -1.