Step-by-step explanation:
a.here, 3x+y=6
reducing it into slope intercept form we get,
y=-3x+6
comparing it with y=mx+c we get,
slope(m)=-3 and
y-intercept (c)=6
b.here,y=5x+2
comparing it with y=mx+c we get,
slope(m)=5 and
y-intercept (c)=2
c.here,x=4y-1
reducing it into slope intercept form we get,
4y=x+1
or,y=x/4+1/4
comparing it with y=mx+c we get,
slope(m)=1/4 and
y-intercept (c)=1/4
d.here,y=-x+6
comparing it with y=mx+c we get,
slope(m)=-1 and
y-intercept (c)=6