Question

How do you find the slope and intercept of `3x + y = -4`?

Answer 1

Slope `m=-3`, &, Y-intercept `c=-4`.

Explanation:

The slope-intercept form of a line is `: y=mx+c`, where, `m` is slope and `c` is Y-intercept of the line..

The given eqn. is, `: y=-3x-4`

Clearly, the Slope `m=-3`, &, Y-intercept `c=-4`.

Answer 2

slope = -3 , y-intercept = -4

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'.

Express 3x + y = -4 in this form.

subtract 3x from both sides

`cancel(3x)+y-cancel(3x)=-3x-4rArry=-3x-4`

Now y = -3x - 4 is in `color(blue)"slope-intercept form"`

Hence slope = - 3 and y-intercept = - 4