Answer: [tex]y=-\dfrac{3}{5}x+5[/tex]
y-intercept =(0,5)
Step-by-step explanation:
The given equation of line : [tex]5x+3y=15[/tex]
The slope-intercept form of equation : [tex]y=mx+c[/tex]
To write the given equation in intercept form , we first subtract 3x form both sides , then divide 3 on both sides, we get
[tex]y=\dfrac{1}{3}(15-3x)\\\\\Rightarrow\ y=5-\dfrac{3}{5}x\\\\\Rightarrow\ y=-\dfrac{3}{5}x+5[/tex]
Hence, the slope-intercept form of the given equation :-
[tex]y=-\dfrac{3}{5}x+5[/tex]
For y intercept , put x=0 , we get
[tex]y=5[/tex]
Hence, the y-intercept of the given line =(0,5)
