Answer:
The slope intercept form of [tex]13x+2y=43[/tex] is [tex]y=-\frac{13}{2}x+\frac{43}{2}[/tex].
Step-by-step explanation:
The given equation is
[tex]13x+2y=43[/tex]
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
[tex]13x+2y=43[/tex]
Subtract 13x from both sides.
[tex]13x+2y-13x=-13x+43[/tex]
[tex]2y=-13x+43[/tex]
Divide both sides by 2.
[tex]y=-\frac{13}{2}x+\frac{43}{2}[/tex]
Therefore the slope intercept form of [tex]13x+2y=43[/tex] is [tex]y=-\frac{13}{2}x+\frac{43}{2}[/tex].
