What is the x intercept and y intercept of y+6=5x

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)