Question

the equation of a line 4x-3y-7=0 In slope intercept form is..​

Answer 1

Step-by-step explanation:

4x-3y-7=0

4x-3y=7 [divide by 7 on both sides]

(4/7)x-(3/7)y = 1

Answer 2

For better explanation there is a image attached.



Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
Rearrange
4
x
−
3
y
+
7
=
0
into this form
subtract 4x from both sides
4
x
−
4
x
−
3
y
+
+
7
=
0
−
4
x
⇒
−
3
y
+
7
=
−
4
x
subtract 7 from both sides
−
3
y
+
7
−
7
=
−
4
x
−
7
⇒
−
3
y
=
−
4
x
−
7
divide all terms by
−
3
−
3
y
−
3
=
−
4
−
3
x
+
−
7
−
3
⇒
y
=
4
3
x
+
7
3
←
in slope-intercept form
⇒
slope
=
4
3