y=mx+b
y+6=5x
Move +6 to the other side. Sign changes from +6 to -6.
y-6+6=5x-6
y=5x-6
x-intercept ( y=0)
Use the substitution method
0=5x-6
Move -6 to the other side. Sign changes from -6 to +6.
0+6=5x-6+6
0+6=5x
6=5x
divide by 5 for both sides
6/5=5x/5
x=6/5
y-intercept (x=0)
y=5x-6
y=5(0)-6
0-6
y=-6
Answers: x-intercept (6/5,0) , y-intercept (0,-6)
