Final answer:
To write the equation 5x+y+2=0 in slope-intercept form, subtract 5x from both sides to leave y = -5x - 2. The slope is -5 and the y-intercept is -2.
Step-by-step explanation:
To write the equation 5x+y+2=0 in slope-intercept form, which is y = mx + b, we need to isolate y on one side of the equation.
First, subtract 5x from both sides to remove the x term,
⇒5x+y+2-5x =0-5x
⇒y+2=-5x
⇒y=-5x-2
leaving us with y = -5x - 2. Now, the equation is in slope-intercept form.
The slope, m, is -5 and the y-intercept, b, is -2.
Learn more about Slope-Intercept Form