How do you find the slope and y-intercept of the graph of 2x + 4y=-8?
y-intercept = - 2
The equation of a line in
where m represents the slope and b, the y-intercept.
The advantage to having the equation in this form is that m and b can be extracted 'easily'.
#2x+4y=-8" into this form"#
subtract 2x from both sides of the equation.
now divide both sides by 4 to obtain y.
#rArr(cancel(4)^1 y)/cancel(4)^1=(cancel(-2)^-1)/cancel(4)^2 x-cancel(8)^2/cancel(4)^1#
#rArry=-1/2x-2" is equation in y = mx + b form"#
#"slope" =-1/2" and y-intercept" =-2#