Given that y varies directly as x and inversely as 2m-1 and that y =5 when x=7and m=4, calculate of variation k

Inverse variation can be represented as:
y
=
k
x

k
=
y
.
x

where
k
is the constant
x
=
7
and
y
=
10

so ,
k
=
7
×
10
=
70

Now, we have the value of
k
and
x
=
10
, substituting these in the variation to find
y

k
=
y
.
x

y
=
k
x

y
=
70
10
=
7

on observing the values
when
x
=
7
,
y
=
10
, and
when
x
=
10
,
y
=
3

as the value of
x
decreases
y
increases and vice verse as they vary inversely.

Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!