without graphing, identify the slope and the y-intercept for the line associated with the equaiton.
5x + 20y = 60
y = 3-5x/20
Jace, seriously, that was horrible man.
5x + 20y = 60
Substract 5x from both sides.
20y = 60 - 5x
Divide by 20 to isolate y.
y = 3 - 5/20 x
Simplify the fraction.
y= 3 - 1/4 x
Put into standard form.
y = - 1/4 x + 3
Remember that y=mx+b, m equals slope, and b equals y-intercept.
Thus, slope equals -1/4, and y-intercept equals 3.
To identify the slope and the y-intercept of the line associated with the equation 5x + 20y = 60 without graphing, we need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Starting with the given equation:
5x + 20y = 60
First, isolate the term with y by subtracting 5x from both sides:
20y = -5x + 60
Next, divide through by 20 to solve for y:
y = (-5/20)x + 60/20
Simplify the equation:
y = -1/4x + 3
Now we can see that the equation is in slope-intercept form, where the slope is -1/4 (m = -1/4) and the y-intercept is 3 (b = 3).