Y intercept means the y-coordinate of the point where the graph crosses the y-axis.
Given equation is:
[tex]-2x+6y=5[/tex]
Let x be 0, as at the y-intercept point, the x-coordinate of that point is always 0.
[tex]-2(0)+6y=5[/tex]
[tex]6y=5[/tex]
y=[tex]\frac{5}{6}[/tex]
Slope-intercept form is y = mx + b
where m is the slope of the line and b is the y-intercept of the line {the number without a variable}
-2x+6y = 5
6y = 2x+5
y= [tex]\frac{2x}{6}+\frac{5}{6}[/tex]
Hence, slope is [tex]\frac{2}{6}or\frac{1}{3}[/tex]
