Get y by itself first (get it into slope-intercept form)

-x + 2y = 17

+x +x

2y = x + 17

2 2

y = x + 17

2 2

Remeber slope-intercept is: y = mx + b, and m = slope, and b = y-int

for your equation: m = 1/2, b = 17/2 = 8.5

On your graph paper:

Plot the point (0,8.5) --> your y-int is where the graph crosses the y-axis, the y-axis is where x is zero

From that point move up 1 (top of your slope fraction - up because it is positive), then right 2 (bottom of your slope fraction)

Regarding parallel and perpendicular lines:

Parallel lines will have the same slope and never touch

Ex: y = 3x + 2 and y = 3x - 5

Perpendicular lines will have slopes be the opposite reciprocal and will touch once at a 90 degree angle

Ex: y = 3x + 2 and y = -(1/3)x -5

Opposite Reciprocal:

Opposite means their signs are different, one has to be positive and one negative

Reciprocal: flip the fraction up-side-down. A 3x has a slope of 3 which is equal to 3/1.

The reciprocalof this is 1/3