2) Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)
4x + 5y = 20
for the equation in the form
Ax + By = C, the slope is -A/B, so ....
or change it to the form y = mx + b, where the slope is m
4x + 5y = 20
5y = -4x + 20
y = ....
y= -4/5x +5
so the slope is -4/5
correct
thank you Reiny
To find the slope of the line, you need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope.
Given equation: 4x + 5y = 20
Step 1: Subtract 4x from both sides to isolate y:
5y = -4x + 20
Step 2: Divide both sides by 5 to solve for y:
y = (-4/5)x + 4
Now that the equation is in slope-intercept form, we can see that the coefficient of x (-4/5) represents the slope of the line.
Therefore, the slope of the line is -4/5.