What is the slope of a line defined by the equation 3x + y = -4?
1 Answer
Jun 3, 2016
slope
Explanation:
Recall that the slope of a line can be determined when its equation is in slope-intercept form:
#color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))# where:
#y=# y-coordinate
#m=# slope
#x=# x-coordinate
#b=# y-intercept
In your case, you are looking for
Given,
#3x+y=-4#
Solve for
#3xcolor(white)(i)color(red)(-3x)+y=color(red)(-3x)-4#
Simplifying,
#y=color(darkorange)(-3)x-4#
Referring back to the general equation of a line, the slope,