Question

Enter the equation of the line in slope-intercept form.

Slope is -5, and (7,4) is on the line.
The equation of the line is

Answer 1

`y=-5x+39`

Explanation:

Hi there!

Slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

`y=mx+b`

Plug in the slope -5

`y=-5x+b`

2) Determine the y-intercept (b)

`y=-5x+b`

Plug in the given point (7,4) and solve for b

`4=-5(7)+b\\4=-35+b`

Add 35 to both sides to isolate b

`4+35=-35+b+35\\39=b`

Therefore, the y-intercept is 39. Plug this back into
`y=-5x+b`:

`y=-5x+39`

I hope this helps!