Without graphing, identify the slope and the y-intercept for the
line associated with each equation
5x + 20y = 60
Y=mx+b
m=5x
b=?
To identify the slope and y-intercept of a line without graphing, we can rewrite the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given the equation 5x + 20y = 60, we need to rearrange it to fit the y = mx + b form. Let's isolate y by subtracting 5x from both sides of the equation:
20y = -5x + 60
Divide both sides by 20 to get y alone:
y = (-5/20)x + 60/20
Simplify the equation:
y = (-1/4)x + 3
Now, we can identify the slope and y-intercept:
The slope, represented by m, is -1/4.
The y-intercept, represented by b, is 3.
Therefore, the slope is -1/4 and the y-intercept is 3.