Question

Find the y-intercept and the slope for the line. -2x+6y=5
Write your answer in simplest form

Answer 1

Y intercept means the y-coordinate of the point where the graph crosses the y-axis.

Given equation is:

`-2x+6y=5`

Let x be 0, as at the y-intercept point, the x-coordinate of that point is always 0.

`-2(0)+6y=5`

`6y=5`

y=
`(5)/(6)`

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=
`(2x)/(6)+(5)/(6)`

Hence, slope is
`(2)/(6)or(1)/(3)`