Question

Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope-3; y-intercept (0,31)

Answer 1

Slope-intercept equation:

y = mx + c

m = slope

c = y-intercept

y = - 3x + 31

Answer 2

`y=-3x+31`

Explanation:

the general form of the slope-intercept equation is as follows:

`y=mx+b`

where
`m` is the slope of the line, and
`b` is the y-intercept.

In this case we know that the slope is:

`m=-3`

and the y-intercept is the value of
`y` when
`x=0`, from the given point the y-intercept is at (0, 31) so the value of y, when
`x=0` is
`31`, thus:

`b=31`

and we substitute this values in the general form of the equation:

`y=mx+b\\y=-3x+31`

the slope intercept equation is
`y=-3x+31`