Slope-intercept form is:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
1. y = 4x + 1
Slope: 4
y-intercept: 1
2. y = -3x
Slope: -3
y-intercept: 0
3. -x + y = 4 First isolate the "y". Add x on both sides
-x + x + y = 4 + x
y = 4 + x
Slope: 1
y-intercept: 4
4. y = 5/6x - 3
Slope:

y-intercept: -3
5. y + 3x = -7 Isolate the "y". Subtract 3x on both sides
y + 3x - 3x = -7 - 3x
y = -7 - 3x
Slope: -3
y-intercept: -7
6. y = 1/5x + 2
Slope:

y-intercept: 2