Question

How do you find the slope and y-intercept for the line `y = -7/4 x +2`?

Answer 1

Slope: `-7/4`
y-intercept: `2`

Explanation:

Any linear equation in the form
`color(white)("XXX")y = mx+b`
is in a form called the "slope-intercept form"
with a slope of `m`
and a y-intercept of `b`

`y=-7/4x+2` is in this form
with `m= -7/4`
and a y-intercept `=2`

Answer 2

You do it like this:

Explanation:

A straight line is of the form:

`y=mx+c`

`m` is the gradient

`c` is the intercept i.e the point at `x=0` where the line cuts the `y` axis.

So for the line:

`y=-7/4x+2`

The slope `m=-7/2` and the intercept `c=2` graph{y=-7/2x+2 [-10, 10, -5, 5]}

Answer 3

Slope=`-7/4`

y-intercept=`2`

Explanation:

The coefficient of `x` (that is, the number being multiplied by `x`) is the slope. Therefore, the slope= `-7/4`

The y-intercept is the constant in the equation (that is, it is the number that is not being multiplied by any variable, such as `x` or `y`). Therefore, the y-intercept= `2`

The equation of a line can generally be written as `y=mx+c`, where `m` is the slope and `c` is the y-intercept.