Question

What is the slope and y-intercept of this line `y = (-4/5)x + 1`?

Answer 1

slope`=-4/5`
`y`-intercept is `y=1`

Explanation:

`y=mx+c` where `m` is the slope
`y=(-4/5)x+1`
Hence slope`=-4/5`-------------------------Ans `1`
`y`-intercept is when `x=0`
By plugging the value `x=0` inthe equation `y=(-4/5)x+1`
we get
`y=-4/5times0+1`
or
`y=0+1`
or
`y=1`-----------------------------Ans `2`

Answer 2

slope = `-4/5`
y-intercept = 1

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

The advantage to having the equation in this form, is that m and b may be extracted 'easily'.

The equation here `y=-4/5x+1" is in this form"`

`rArr"slope" =-4/5" and y-intercept" =1`