you are tasked to graphing the equation y = 4/17x + 2

Question

our initial point (the y-intercept) is the point (__, __)

to plot a 2nd point we would start our initial point and go up 4 and right 17 and this is the point (__, __)

Answer 1

To find the initial point (the y-intercept), we can set x = 0 in the equation y = (4/17)x + 2:

y = (4/17)(0) + 2
y = 0 + 2
y = 2

So the initial point is (0, 2).

To find the second point, we go up 4 units and right 17 units from the initial point (0, 2):

x = 0 + 17 = 17
y = (4/17)(17) + 2
y = 4 + 2
y = 6

So the second point is (17, 6).

Therefore, the initial point is (0, 2) and the second point is (17, 6) when graphing the equation y = (4/17)x + 2.