Question

You are tasked to graphing the equation
y
=
2
17
x

+

8
y=
17
2
​
x + 8 Click Here for Help Video



Our initial point (the y-intercept) is the point is (
0
,
8
)



To plot a 2nd point we would start at our initial point and go up
2
2 and right
17
17 and this is the point (
,
)

Answer 1

To find the second point based on the slope of the equation \( y = \frac{17}{2}x + 8 \):

1. **Identify the y-intercept**: The given point is (0, 8). This is where the line intersects the y-axis.

2. **Use the slope to find the second point**: The slope of the line is \( \frac{17}{2} \), which means for every 2 units you go up, you go 17 units to the right.

Starting from the initial point (0, 8):

- **Move up 2**: Starting from y = 8, when you move up 2, you get:
\[
8 + 2 = 10
\]
So, the new y-coordinate is 10.

- **Move right 17**: Starting from x = 0, when you move right 17, you get:
\[
0 + 17 = 17
\]
So, the new x-coordinate is 17.

Thus, the second point on the graph of the equation is (17, 10).

Final answer:
The second point is \( (17, 10) \).