State the slope and the y-intercept for the graph of each equation: y=4x+1

Since it is in slpe-intercept form (y=mx+b) we can find the slope easily so

slope=m in y=mx+b

slope=4/1=rise/run

y-intercept is when the line passes through the y-line or when x=0

so set x to 0 and get

y=4 (0) + 1

y=0+1

y=1

y-intercept=1