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,