Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)
−5x + 4y = 10
-5x+4y=10
4y=5x+10
y=5/4x+10/4
Slope= 5/4
To find the slope of the line, we need to rearrange the given equation into slope-intercept form which is in the form of y = mx + b, where m represents the slope.
Given equation: -5x + 4y = 10
First, let's isolate y on one side by moving the -5x term to the other side:
4y = 5x + 10
Next, divide both sides of the equation by 4 to solve for y:
y = (5/4)x + 10/4
Simplifying:
y = (5/4)x + 5/2
Now we can see that the slope (m) is the coefficient of x, which is 5/4.
Therefore, the slope of the line is 5/4.